diff --git a/CHANGELOG.md b/CHANGELOG.md
index 58444fabc1..60e88cfeb9 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -16,6 +16,7 @@ Changed:
 
 Fixed:
 - Fix inconsistency in margin application between `ComposeUiBox` and `ViewBox`.
+- Add support for the Height modifier in `ComposeUiBox`.
 
 
 ## [0.16.0] - 2024-11-19
diff --git a/redwood-layout-composeui/src/commonMain/kotlin/app/cash/redwood/layout/composeui/Box.kt b/redwood-layout-composeui/src/commonMain/kotlin/app/cash/redwood/layout/composeui/Box.kt
index a3d6b8aebc..7349ff5e64 100644
--- a/redwood-layout-composeui/src/commonMain/kotlin/app/cash/redwood/layout/composeui/Box.kt
+++ b/redwood-layout-composeui/src/commonMain/kotlin/app/cash/redwood/layout/composeui/Box.kt
@@ -27,6 +27,7 @@ import androidx.compose.ui.layout.MeasureResult
 import androidx.compose.ui.layout.MeasureScope
 import androidx.compose.ui.layout.Placeable
 import androidx.compose.ui.unit.Constraints
+import androidx.compose.ui.unit.Dp
 import androidx.compose.ui.unit.IntSize
 import androidx.compose.ui.unit.LayoutDirection
 import androidx.compose.ui.util.fastForEachIndexed
@@ -67,6 +68,7 @@ internal data class BoxChildLayoutInfo(
   val alignment: Alignment,
   val matchParentWidth: Boolean,
   val matchParentHeight: Boolean,
+  val requestedHeight: Dp?
 )
 
 @PublishedApi
@@ -109,6 +111,11 @@ internal data class BoxMeasurePolicy(
           minHeight = if (boxHeight != Constraints.Infinity) boxHeight else 0,
           maxHeight = boxHeight,
         )
+      } else if (layoutInfo.requestedHeight != null) {
+        childConstraints = childConstraints.copy(
+          minHeight = layoutInfo.requestedHeight.toPx().toInt(),
+          maxHeight = layoutInfo.requestedHeight.toPx().toInt(),
+        )
       }
       val placeable = measurable.measure(childConstraints)
       placeables[index] = placeable
diff --git a/redwood-layout-composeui/src/commonMain/kotlin/app/cash/redwood/layout/composeui/ComposeUiBox.kt b/redwood-layout-composeui/src/commonMain/kotlin/app/cash/redwood/layout/composeui/ComposeUiBox.kt
index 1bb3e8b3a6..4c3aaecd18 100644
--- a/redwood-layout-composeui/src/commonMain/kotlin/app/cash/redwood/layout/composeui/ComposeUiBox.kt
+++ b/redwood-layout-composeui/src/commonMain/kotlin/app/cash/redwood/layout/composeui/ComposeUiBox.kt
@@ -31,6 +31,7 @@ import androidx.compose.ui.BiasAlignment
 import androidx.compose.ui.Modifier
 import androidx.compose.ui.graphics.Color
 import androidx.compose.ui.platform.LocalDensity
+import androidx.compose.ui.unit.Dp
 import androidx.compose.ui.util.fastMap
 import app.cash.redwood.Modifier as RedwoodModifier
 import app.cash.redwood.layout.api.Constraint
@@ -85,6 +86,7 @@ internal class ComposeUiBox(
     var alignment = alignment
     var matchParentWidth = matchParentWidth
     var matchParentHeight = matchParentHeight
+    var requestedHeight: Dp? = null
 
     forEachScoped { childModifier ->
       when (childModifier) {
@@ -109,7 +111,7 @@ internal class ComposeUiBox(
         }
 
         is Height -> {
-          // TODO
+          requestedHeight = childModifier.height.toDp()
         }
 
         is Size -> {
@@ -134,6 +136,7 @@ internal class ComposeUiBox(
       alignment = alignment,
       matchParentWidth = matchParentWidth,
       matchParentHeight = matchParentHeight,
+      requestedHeight = requestedHeight,
     )
   }
 
diff --git a/redwood-layout-composeui/src/test/snapshots/images/app.cash.redwood.layout.composeui_ComposeUiBoxTest_RTL_testChildExplicitHeight.png b/redwood-layout-composeui/src/test/snapshots/images/app.cash.redwood.layout.composeui_ComposeUiBoxTest_RTL_testChildExplicitHeight.png
index 2ce963b407..f2d827a52c 100644
--- a/redwood-layout-composeui/src/test/snapshots/images/app.cash.redwood.layout.composeui_ComposeUiBoxTest_RTL_testChildExplicitHeight.png
+++ b/redwood-layout-composeui/src/test/snapshots/images/app.cash.redwood.layout.composeui_ComposeUiBoxTest_RTL_testChildExplicitHeight.png
@@ -1,3 +1,3 @@
 version https://git-lfs.github.com/spec/v1
-oid sha256:3562b9122ec22acaf45b5a9ec6188bc4707ffac244b0395fae759dfa19dcee34
-size 5581
+oid sha256:0e5072fc1009dc442e8667845dbc73483603a21baa2b75ca70d2d7cb3b70172b
+size 5600
diff --git a/redwood-layout-composeui/src/test/snapshots/images/app.cash.redwood.layout.composeui_ComposeUiBoxTest_testChildExplicitHeight.png b/redwood-layout-composeui/src/test/snapshots/images/app.cash.redwood.layout.composeui_ComposeUiBoxTest_testChildExplicitHeight.png
index d9487ec055..833331ca10 100644
--- a/redwood-layout-composeui/src/test/snapshots/images/app.cash.redwood.layout.composeui_ComposeUiBoxTest_testChildExplicitHeight.png
+++ b/redwood-layout-composeui/src/test/snapshots/images/app.cash.redwood.layout.composeui_ComposeUiBoxTest_testChildExplicitHeight.png
@@ -1,3 +1,3 @@
 version https://git-lfs.github.com/spec/v1
-oid sha256:4c3130a3fc0e8428540637aecc4d76c8fcadc9fe821877ca4dab029ada222250
-size 5588
+oid sha256:8fb7ce8abe4210ff3124fd8359a96c38ae540335227e66b322ba64853e3ebea6
+size 5609