diff --git a/src/Window.zig b/src/Window.zig
index f5d9758c8..32ad18587 100644
--- a/src/Window.zig
+++ b/src/Window.zig
@@ -161,7 +161,7 @@ pub fn create(alloc: Allocator, loop: libuv.Loop) !*Window {
     try stream.readStart(ttyReadAlloc, ttyRead);
 
     // Create our terminal
-    var term = Terminal.init(grid.size.columns, grid.size.rows);
+    var term = try Terminal.init(alloc, grid.size.columns, grid.size.rows);
     errdefer term.deinit(alloc);
 
     // Setup a timer for blinking the cursor
diff --git a/src/terminal/Tabstops.zig b/src/terminal/Tabstops.zig
new file mode 100644
index 000000000..d819a7d71
--- /dev/null
+++ b/src/terminal/Tabstops.zig
@@ -0,0 +1,179 @@
+//! Keep track of the location of tabstops.
+//!
+//! This is implemented as a bit set. There is a preallocation segment that
+//! is used for almost all screen sizes. Then there is a dynamically allocated
+//! segment if the screen is larger than the preallocation amount.
+//!
+//! In reality, tabstops don't need to be the most performant in any metric.
+//! This implementation tries to balance denser memory usage (by using a bitset)
+//! and minimizing unnecessary allocations.
+const Tabstops = @This();
+
+const std = @import("std");
+const Allocator = std.mem.Allocator;
+const testing = std.testing;
+const assert = std.debug.assert;
+
+/// Unit is the type we use per tabstop unit (see file docs).
+const Unit = u8;
+const unit_bits = @bitSizeOf(Unit);
+
+/// The number of columsn we preallocate for. This is kind of high which
+/// costs us some memory, but this is more columns than my 6k monitor at
+/// 12-point font size, so this should prevent allocation in almost all
+/// real world scenarios for the price of wasting at most
+/// (columns / sizeOf(Unit)) bytes.
+const prealloc_columns = 512;
+
+/// The number of entries we need for our preallocation.
+const prealloc_count = prealloc_columns / unit_bits;
+
+/// We precompute all the possible masks since we never use a huge bit size.
+const masks = blk: {
+    var res: [unit_bits]Unit = undefined;
+    for (res) |_, i| {
+        res[i] = @shlExact(@as(Unit, 1), @intCast(u3, i));
+    }
+
+    break :blk res;
+};
+
+/// Preallocated tab stops.
+prealloc_stops: [prealloc_count]Unit = [1]Unit{0} ** prealloc_count,
+
+/// Dynamically expanded stops above prealloc stops.
+dynamic_stops: []Unit = &[0]Unit{},
+
+/// Returns the entry in the stops array that would contain this column.
+inline fn entry(col: usize) usize {
+    return col / unit_bits;
+}
+
+inline fn index(col: usize) usize {
+    return @mod(col, unit_bits);
+}
+
+pub fn init(alloc: Allocator, cols: usize, interval: usize) !Tabstops {
+    var res: Tabstops = .{};
+    try res.resize(alloc, cols);
+    res.reset(interval);
+    return res;
+}
+
+pub fn deinit(self: *Tabstops, alloc: Allocator) void {
+    if (self.dynamic_stops.len > 0) alloc.free(self.dynamic_stops);
+    self.* = undefined;
+}
+
+/// Set the tabstop at a certain column.
+pub fn set(self: *Tabstops, col: usize) void {
+    const i = entry(col);
+    const idx = index(col);
+    if (i < prealloc_count) {
+        self.prealloc_stops[i] |= masks[idx];
+        return;
+    }
+
+    const dynamic_i = i - prealloc_count;
+    assert(dynamic_i < self.dynamic_stops.len);
+    self.dynamic_stops[dynamic_i] |= masks[idx];
+}
+
+/// Get the value of a tabstop at a specific column.
+pub fn get(self: Tabstops, col: usize) bool {
+    const i = entry(col);
+    const idx = index(col);
+    const mask = masks[idx];
+    const unit = if (i < prealloc_count)
+        self.prealloc_stops[i]
+    else unit: {
+        const dynamic_i = i - prealloc_count;
+        assert(dynamic_i < self.dynamic_stops.len);
+        break :unit self.dynamic_stops[dynamic_i];
+    };
+
+    return unit & mask == mask;
+}
+
+/// Resize this to support up to cols columns.
+pub fn resize(self: *Tabstops, alloc: Allocator, cols: usize) !void {
+    // Do nothing if it fits.
+    if (cols <= prealloc_columns) return;
+
+    // What we need in the dynamic size
+    const size = cols - prealloc_columns;
+    if (size < self.dynamic_stops.len) return;
+
+    // Note: we can probably try to realloc here but I'm not sure it matters.
+    const new = try alloc.alloc(Unit, size);
+    if (self.dynamic_stops.len > 0) {
+        std.mem.copy(Unit, new, self.dynamic_stops);
+        alloc.free(self.dynamic_stops);
+    }
+
+    self.dynamic_stops = new;
+}
+
+/// Return the total number of columns this can support currently.
+pub fn capacity(self: Tabstops) usize {
+    return prealloc_count + self.dynamic_stops.len;
+}
+
+/// Unset all tabstops and then reset the initial tabstops to the given
+/// interval. An interval of 0 sets no tabstops.
+pub fn reset(self: *Tabstops, interval: usize) void {
+    std.mem.set(Unit, &self.prealloc_stops, 0);
+    std.mem.set(Unit, self.dynamic_stops, 0);
+
+    if (interval > 0) {
+        const cap = self.capacity();
+        var i: usize = interval - 1;
+        while (i < cap) : (i += interval) {
+            self.set(i);
+        }
+    }
+}
+
+test "Tabstops: basic" {
+    var t: Tabstops = .{};
+    defer t.deinit(testing.allocator);
+    try testing.expectEqual(@as(usize, 0), entry(4));
+    try testing.expectEqual(@as(usize, 1), entry(9));
+
+    try testing.expectEqual(@as(Unit, 0b00001000), masks[3]);
+    try testing.expectEqual(@as(Unit, 0b00010000), masks[4]);
+
+    try testing.expect(!t.get(4));
+    t.set(4);
+    try testing.expect(t.get(4));
+    try testing.expect(!t.get(3));
+
+    t.reset(0);
+    try testing.expect(!t.get(4));
+}
+
+test "Tabstops: dynamic allocations" {
+    var t: Tabstops = .{};
+    defer t.deinit(testing.allocator);
+
+    // Grow the capacity by 2.
+    const cap = t.capacity();
+    try t.resize(testing.allocator, cap * 2);
+
+    // Set something that was out of range of the first
+    t.set(cap + 5);
+    try testing.expect(t.get(cap + 5));
+    try testing.expect(!t.get(cap + 4));
+
+    // Prealloc still works
+    try testing.expect(!t.get(5));
+}
+
+test "Tabstops: interval" {
+    var t: Tabstops = try init(testing.allocator, 80, 4);
+    defer t.deinit(testing.allocator);
+    try testing.expect(!t.get(0));
+    try testing.expect(t.get(3));
+    try testing.expect(!t.get(4));
+    try testing.expect(t.get(7));
+}
diff --git a/src/terminal/Terminal.zig b/src/terminal/Terminal.zig
index 7f0e94657..35fd7f0af 100644
--- a/src/terminal/Terminal.zig
+++ b/src/terminal/Terminal.zig
@@ -9,6 +9,7 @@ const testing = std.testing;
 const Allocator = std.mem.Allocator;
 const ansi = @import("ansi.zig");
 const Parser = @import("Parser.zig");
+const Tabstops = @import("Tabstops.zig");
 
 const log = std.log.scoped(.terminal);
 
@@ -18,6 +19,9 @@ screen: Screen,
 /// Cursor position.
 cursor: Cursor,
 
+/// Where the tabstops are.
+tabstops: Tabstops,
+
 /// The size of the terminal.
 rows: usize,
 cols: usize,
@@ -49,17 +53,19 @@ const Cursor = struct {
 };
 
 /// Initialize a new terminal.
-pub fn init(cols: usize, rows: usize) Terminal {
-    return .{
+pub fn init(alloc: Allocator, cols: usize, rows: usize) !Terminal {
+    return Terminal{
         .cols = cols,
         .rows = rows,
         .screen = .{},
         .cursor = .{ .x = 0, .y = 0 },
+        .tabstops = try Tabstops.init(alloc, cols, 8),
         .parser = Parser.init(),
     };
 }
 
 pub fn deinit(self: *Terminal, alloc: Allocator) void {
+    self.tabstops.deinit(alloc);
     for (self.screen.items) |*line| line.deinit(alloc);
     self.screen.deinit(alloc);
     self.* = undefined;
@@ -113,7 +119,7 @@ pub fn appendChar(self: *Terminal, alloc: Allocator, c: u8) !void {
     for (actions) |action_opt| {
         switch (action_opt orelse continue) {
             .print => |p| try self.print(alloc, p),
-            .execute => |code| try self.execute(code),
+            .execute => |code| try self.execute(alloc, code),
         }
     }
 }
@@ -129,11 +135,11 @@ fn print(self: *Terminal, alloc: Allocator, c: u8) !void {
     self.cursor.x += 1;
 }
 
-fn execute(self: *Terminal, c: u8) !void {
+fn execute(self: *Terminal, alloc: Allocator, c: u8) !void {
     switch (@intToEnum(ansi.C0, c)) {
         .BEL => self.bell(),
         .BS => self.backspace(),
-        .HT => self.horizontal_tab(),
+        .HT => try self.horizontal_tab(alloc),
         .LF => self.linefeed(),
         .CR => self.carriage_return(),
     }
@@ -150,9 +156,16 @@ pub fn backspace(self: *Terminal) void {
     self.cursor.x -|= 1;
 }
 
-/// TODO
-pub fn horizontal_tab(self: *Terminal) void {
-    _ = self;
+/// Horizontal tab moves the cursor to the next tabstop, clearing
+/// the screen to the left the tabstop.
+pub fn horizontal_tab(self: *Terminal, alloc: Allocator) !void {
+    while (self.cursor.x < self.cols) {
+        // Clear
+        try self.print(alloc, ' ');
+
+        // If this is the tabstop, then we're done.
+        if (self.tabstops.get(self.cursor.x)) return;
+    }
 }
 
 /// Carriage return moves the cursor to the first column.
@@ -184,10 +197,11 @@ fn getOrPutCell(self: *Terminal, alloc: Allocator, x: usize, y: usize) !*Cell {
 
 test {
     _ = Parser;
+    _ = Tabstops;
 }
 
 test "Terminal: input with no control characters" {
-    var t = init(80, 80);
+    var t = try init(testing.allocator, 80, 80);
     defer t.deinit(testing.allocator);
 
     // Basic grid writing
@@ -202,7 +216,7 @@ test "Terminal: input with no control characters" {
 }
 
 test "Terminal: C0 control LF and CR" {
-    var t = init(80, 80);
+    var t = try init(testing.allocator, 80, 80);
     defer t.deinit(testing.allocator);
 
     // Basic grid writing
@@ -217,7 +231,7 @@ test "Terminal: C0 control LF and CR" {
 }
 
 test "Terminal: C0 control BS" {
-    var t = init(80, 80);
+    var t = try init(testing.allocator, 80, 80);
     defer t.deinit(testing.allocator);
 
     // BS