diff --git a/src/ChainRules.jl b/src/ChainRules.jl
index 09dce121c..1e0989b40 100644
--- a/src/ChainRules.jl
+++ b/src/ChainRules.jl
@@ -32,6 +32,7 @@ include("rulesets/Base/fastmath_able.jl")
 include("rulesets/Base/evalpoly.jl")
 include("rulesets/Base/array.jl")
 include("rulesets/Base/arraymath.jl")
+include("rulesets/Base/indexing.jl")
 include("rulesets/Base/mapreduce.jl")
 
 include("rulesets/Statistics/statistics.jl")
diff --git a/src/rulesets/Base/indexing.jl b/src/rulesets/Base/indexing.jl
new file mode 100644
index 000000000..8cf0067aa
--- /dev/null
+++ b/src/rulesets/Base/indexing.jl
@@ -0,0 +1,27 @@
+#####
+##### getindex
+#####
+
+function rrule(::typeof(getindex), x::Array{<:Number}, inds...)
+    # removes any logical indexing, CartesianIndex etc
+    # leaving us just with a tuple of Int, Arrays of Int and Ranges of Int
+    plain_inds = Base.to_indices(x, inds)
+    y = getindex(x, plain_inds...)
+    function getindex_pullback(ȳ)
+        function getindex_add!(Δ)
+            # this a optimizes away for simple cases
+            for (ȳ_ii, ii) in zip(ȳ, Iterators.product(plain_inds...))
+                Δ[ii...] += ȳ_ii
+            end
+            return Δ
+        end
+
+        x̄ = InplaceableThunk(
+            @thunk(getindex_add!(zero(x))),
+            getindex_add!
+        )
+        return (NO_FIELDS, x̄, (DoesNotExist() for _ in inds)...)
+    end
+
+    return y, getindex_pullback
+end
diff --git a/test/rulesets/Base/indexing.jl b/test/rulesets/Base/indexing.jl
new file mode 100644
index 000000000..d8ba38ba0
--- /dev/null
+++ b/test/rulesets/Base/indexing.jl
@@ -0,0 +1,57 @@
+@testset "getindex" begin
+    @testset "getindex(::Matrix{<:Number},...)" begin
+        x = [1.0 2.0 3.0; 10.0 20.0 30.0]
+        x̄ = [1.4 2.5 3.7; 10.5 20.1 30.2]
+        full_ȳ = [7.4 5.5 2.7; 8.5 11.1 4.2]
+
+        @testset "single element" begin
+            rrule_test(getindex, 2.3, (x, x̄), (2, nothing))
+            rrule_test(getindex, 2.3, (x, x̄), (2, nothing), (1, nothing))
+            rrule_test(getindex, 2.3, (x, x̄), (2, nothing), (2, nothing))
+
+            rrule_test(getindex, 2.3, (x, x̄), (CartesianIndex(2, 3), nothing))
+        end
+
+        @testset "slice/index postions" begin
+            rrule_test(getindex, [2.3, 3.1], (x, x̄), (2:3, nothing))
+            rrule_test(getindex, [2.3, 3.1], (x, x̄), (3:-1:2, nothing))
+            rrule_test(getindex, [2.3, 3.1], (x, x̄), ([3,2], nothing))
+            rrule_test(getindex, [2.3, 3.1], (x, x̄), ([2,3], nothing))
+
+            rrule_test(getindex, [2.3 3.1; 4.1 5.1], (x, x̄), (1:2, nothing), (2:3, nothing))
+            rrule_test(getindex, [2.3 3.1; 4.1 5.1], (x, x̄), (:, nothing), (2:3, nothing))
+
+            rrule_test(getindex, [2.3, 3.1], (x, x̄), (1:2, nothing), (1, nothing))
+            rrule_test(getindex, [2.3, 3.1], (x, x̄), (1, nothing), (1:2, nothing))
+
+            rrule_test(getindex, [2.3 3.1; 4.1 5.1], (x, x̄), (1:2, nothing), (2:3, nothing))
+            rrule_test(getindex, [2.3 3.1; 4.1 5.1], (x, x̄), (:, nothing), (2:3, nothing))
+
+
+            rrule_test(getindex, full_ȳ, (x, x̄), (:, nothing), (:, nothing))
+            rrule_test(getindex, full_ȳ[:], (x, x̄), (:, nothing))
+        end
+
+        @testset "masking" begin
+            rrule_test(getindex, full_ȳ, (x, x̄), (trues(size(x)), nothing))
+            rrule_test(getindex, full_ȳ[:], (x, x̄), (trues(length(x)), nothing))
+
+            mask = falses(size(x))
+            mask[2,3] = true
+            mask[1,2] = true
+            rrule_test(getindex, [2.3, 3.1], (x, x̄), (mask, nothing))
+
+            rrule_test(
+                getindex, full_ȳ[1,:], (x, x̄), ([true, false], nothing), (:, nothing)
+            )
+        end
+
+        @testset "By position with repeated elements" begin
+            rrule_test(getindex, [2.3, 3.1], (x, x̄), ([2, 2], nothing))
+            rrule_test(getindex, [2.3, 3.1, 4.1], (x, x̄), ([2, 2, 2], nothing))
+            rrule_test(
+                getindex, [2.3 3.1; 4.1 5.1], (x, x̄), ([2,2], nothing), ([3,3], nothing)
+            )
+        end
+    end
+end
diff --git a/test/runtests.jl b/test/runtests.jl
index 3c815ccc1..21aaee18d 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -24,6 +24,7 @@ println("Testing ChainRules.jl")
             include(joinpath("rulesets", "Base", "evalpoly.jl"))
             include(joinpath("rulesets", "Base", "array.jl"))
             include(joinpath("rulesets", "Base", "arraymath.jl"))
+            include(joinpath("rulesets", "Base", "indexing.jl"))
             include(joinpath("rulesets", "Base", "mapreduce.jl"))
         end