diff --git a/docs/src/api/reference.md b/docs/src/api/reference.md
index 3665d92af..ae4c77302 100644
--- a/docs/src/api/reference.md
+++ b/docs/src/api/reference.md
@@ -105,6 +105,7 @@ Base methods
 
 ```@docs
 Base.cat
+Base.stack
 Base.copy!
 Base.eachslice
 ```
diff --git a/src/array/methods.jl b/src/array/methods.jl
index 0088751b9..c8a2fc7ab 100644
--- a/src/array/methods.jl
+++ b/src/array/methods.jl
@@ -529,6 +529,53 @@ $message on dimension $D.
 To fix for `AbstractDimArray`, pass new lookup values as `cat(As...; dims=$D(newlookupvals))` keyword or `dims=$D()` for empty `NoLookup`.
 """
 
+function check_stack_dims(iter)
+    comparedims(Bool, dims.(iter)...; order=true, val=true, msg=Dimensions.Warn(" Can't `stack` AbstractDimArray, applying to `parent` object."))
+    iter
+end
+
+_maybe_dimnum(x, dim) = hasdim(x, dim) ? dimnum(x, dim) : ndims(x) + 1
+function _maybe_dimnum(x, dim::Integer)
+    if dim < ndims(x) + 2
+        return dim
+    else
+        throw(ArgumentError(LazyString("cannot stack slices ndims(x) = ", ndims(x) + 1, " along dims = ", dim)))
+    end
+end
+_maybe_dimnum(_, ::Colon) = Colon()
+_maybe_dimnum(x, dims::Tuple) = map(d -> _maybe_dimnum(x, d), dims)
+
+"""
+    stack(x::AbstractDimArray; [dims])
+
+Combine a nested `AbstractDimArray` into a single array by arranging the inner arrays
+along one or more new dimensions taken from the outer array.
+The inner `AbstractDimArray`s must all have the same dimensions.
+
+The keyword `dims` specifies where the new dimensions will be placed in the resulting array.
+The index of all existing dimensions equal to or greater than `dims` will be increased to
+accomodate the new dimensions.
+The default `dims` places the new dimensions at the end of the resulting array.
+
+# Examples
+```julia
+using DimensionalData
+a = DimArray([1 2 3; 4 5 6], (X(4.0:5.0), Y(6.0:8.0)))
+b = DimArray([7 8 9; 10 11 12], (X(4.0:5.0), Y(6.0:8.0)))
+x = DimArray([a, b], Z(4.0:5.0)) # Construct a nested DimArray
+y = stack(x; dims=2) # Resulting array has dims (X, *Z*, Y)
+```
+"""
+function Base.stack(iter::AbstractArray{<:AbstractDimArray}; dims=:)
+    Base._stack(_maybe_dimnum(first(iter), dims), check_stack_dims(iter))
+end
+function Base.stack(f, iter::AbstractArray{<:AbstractDimArray}; kwargs...)
+    Base.stack(f(x) for x in check_stack_dims(iter); kwargs...)
+end
+function Base.stack(f, xs::AbstractArray{<:AbstractDimArray}, yzs...; kwargs...)
+    Base.stack(f(xy...) for xy in zip(xs, yzs...); kwargs...)
+end
+
 function Base.inv(A::AbstractDimArray{T,2}) where T
     newdata = inv(parent(A))
     newdims = reverse(dims(A))
diff --git a/test/methods.jl b/test/methods.jl
index d874ec245..7bc943d4a 100644
--- a/test/methods.jl
+++ b/test/methods.jl
@@ -802,6 +802,47 @@ end
     end
 end
 
+@testset "Base.stack" begin
+    a = [1 2 3; 4 5 6]
+    da = DimArray(a, (X(4.0:5.0), Y(6.0:8.0)))
+    b = [7 8 9; 10 11 12]
+    ca = DimArray(b, (X(4.0:5.0), Y(6.0:8.0)))
+    db = DimArray(b, (X(6.0:7.0), Y(6.0:8.0)))
+
+    x = DimArray([da, db], (Z(4.0:5.0)))
+    @test_warn "Lookup values" stack(x)
+
+    x = DimArray(fill(da, 2, 2), (Dim{:a}(4.0:5.0), Dim{:b}(6.0:7.0)))
+    sx = stack(x)
+    @test sx isa AbstractDimArray
+    @test dims(sx) == (dims(first(x))..., dims(x)...)
+
+    @test_throws "ArgumentError" stack(x; dims=4)
+
+    x = DimArray([da, ca], (Dim{:a}(1:2),))
+    sx = stack(x; dims=1)
+    sy = @test_nowarn stack(x; dims=:)
+    sz = @test_nowarn stack(x; dims=X)
+    @test sx == sz
+    @test sx == stack([parent(da), parent(ca)], dims=1)
+    @test sx isa AbstractDimArray
+    @test dims(sx) == (dims(x)..., dims(first(x))...)
+
+    for d = 1:3
+        x = DimArray([da, ca], (AnonDim(),))
+        dc = stack(x, dims=d)
+        @test dims(dc, d) isa AnonDim
+        @test parent(dc) == stack([da, db], dims=d)
+
+        dc = stack(x -> x .^ 2, x; dims=d)
+        @test dims(dc, d) isa AnonDim
+        @test dc == stack(parent(x); dims=d) .^ 2
+        dc = stack(+, x, x, x; dims=d)
+        @test dims(dc, d) isa AnonDim
+        @test dc == stack(x + x + x; dims=d)
+    end
+end
+
 @testset "unique" begin
     a = [1 1 6; 1 1 6]
     xs = (X, X(), :X)