diff --git a/.github/workflows/AD.yml b/.github/workflows/AD.yml
index fafabd00..47ef8549 100644
--- a/.github/workflows/AD.yml
+++ b/.github/workflows/AD.yml
@@ -21,6 +21,7 @@ jobs:
         arch:
           - x64
         AD:
+          - Enzyme
           - ForwardDiff
           - Tapir
           - Tracker
@@ -29,6 +30,10 @@ jobs:
         exclude:
           - version: 1.6
             AD: Tapir
+          # TODO(mhauru) Hopefully can enable Enzyme on older versions at some point, see
+          # discussion in https://github.com/TuringLang/Bijectors.jl/pull.
+          - version: 1.6
+            AD: Enzyme
     steps:
       - uses: actions/checkout@v2
       - uses: julia-actions/setup-julia@v1
diff --git a/Project.toml b/Project.toml
index d5095408..c53ca2a9 100644
--- a/Project.toml
+++ b/Project.toml
@@ -25,6 +25,7 @@ Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 
 [weakdeps]
 DistributionsAD = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
+Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
 ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
 ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
@@ -34,6 +35,7 @@ Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
 [extensions]
 BijectorsDistributionsADExt = "DistributionsAD"
+BijectorsEnzymeExt = "Enzyme"
 BijectorsForwardDiffExt = "ForwardDiff"
 BijectorsLazyArraysExt = "LazyArrays"
 BijectorsReverseDiffExt = "ReverseDiff"
@@ -50,6 +52,7 @@ Compat = "3.46, 4.2"
 Distributions = "0.25.33"
 DistributionsAD = "0.6"
 DocStringExtensions = "0.9"
+Enzyme = "0.12.22"
 ForwardDiff = "0.10"
 Functors = "0.1, 0.2, 0.3, 0.4"
 InverseFunctions = "0.1"
@@ -69,6 +72,7 @@ julia = "1.6"
 
 [extras]
 DistributionsAD = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
+Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
 ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
 LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
 ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
diff --git a/ext/BijectorsEnzymeExt.jl b/ext/BijectorsEnzymeExt.jl
new file mode 100644
index 00000000..1e8d8aa3
--- /dev/null
+++ b/ext/BijectorsEnzymeExt.jl
@@ -0,0 +1,14 @@
+module BijectorsEnzymeExt
+
+if isdefined(Base, :get_extension)
+    using Enzyme: @import_frule, @import_rrule
+    using Bijectors: find_alpha
+else
+    using ..Enzyme: @import_frule, @import_rrule
+    using ..Bijectors: find_alpha
+end
+
+@import_rrule typeof(find_alpha) Real Real Real
+@import_frule typeof(find_alpha) Real Real Real
+
+end
diff --git a/src/interface.jl b/src/interface.jl
index fa4363ff..d600cd6c 100644
--- a/src/interface.jl
+++ b/src/interface.jl
@@ -93,7 +93,7 @@ function transform(t::Transform, x)
     res = with_logabsdet_jacobian(t, x)
     if res isa ChangesOfVariables.NoLogAbsDetJacobian
         error(
-            "`transform` not implemented for $(typeof(f)); implement `transform` and/or `with_logabsdet_jacobian`.",
+            "`transform` not implemented for $(typeof(t)); implement `transform` and/or `with_logabsdet_jacobian`.",
         )
     end
 
diff --git a/test/Project.toml b/test/Project.toml
index 22c517f9..d4d9a3df 100644
--- a/test/Project.toml
+++ b/test/Project.toml
@@ -6,6 +6,7 @@ ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
 Combinatorics = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
 Compat = "34da2185-b29b-5c13-b0c7-acf172513d20"
 DistributionsAD = "ced4e74d-a319-5a8a-b0ac-84af2272839c"
+Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
 FillArrays = "1a297f60-69ca-5386-bcde-b61e274b549b"
 FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
 ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
@@ -15,8 +16,8 @@ LazyArrays = "5078a376-72f3-5289-bfd5-ec5146d43c02"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 LogDensityProblems = "6fdf6af0-433a-55f7-b3ed-c6c6e0b8df7c"
 LogExpFunctions = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
 MCMCDiagnosticTools = "be115224-59cd-429b-ad48-344e309966f0"
+Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
@@ -31,6 +32,7 @@ ChangesOfVariables = "0.1"
 Combinatorics = "1.0.2"
 Compat = "3.46, 4.2"
 DistributionsAD = "0.6.3"
+Enzyme = "0.12.22"
 FillArrays = "1"
 FiniteDifferences = "0.11, 0.12"
 ForwardDiff = "0.10.12"
diff --git a/test/ad/utils.jl b/test/ad/utils.jl
index d88d2cd9..3e21e693 100644
--- a/test/ad/utils.jl
+++ b/test/ad/utils.jl
@@ -2,7 +2,24 @@
 const AD = get(ENV, "AD", "All")
 
 function test_ad(f, x, broken=(); rtol=1e-6, atol=1e-6)
+    for b in broken
+        if !(
+            b in (
+                :ForwardDiff,
+                :Zygote,
+                :Tapir,
+                :ReverseDiff,
+                :Enzyme,
+                :EnzymeForward,
+                :EnzymeReverse,
+            )
+        )
+            error("Unknown broken AD backend: $b")
+        end
+    end
+
     finitediff = FiniteDifferences.grad(central_fdm(5, 1), f, x)[1]
+    et = eltype(finitediff)
 
     if AD == "All" || AD == "ForwardDiff"
         if :ForwardDiff in broken
@@ -30,6 +47,37 @@ function test_ad(f, x, broken=(); rtol=1e-6, atol=1e-6)
         end
     end
 
+    # TODO(mhauru) The version bound should be relaxed once some Enzyme issues get
+    # sorted out. I think forward mode will remain broken for versions <= 1.6 due to
+    # some Julia bug. See https://github.com/EnzymeAD/Enzyme.jl/issues/1629 and
+    # discussion in https://github.com/TuringLang/Bijectors.jl/pull/318.
+    if (AD == "All" || AD == "Enzyme") && VERSION >= v"1.10"
+        forward_broken = :EnzymeForward in broken || :Enzyme in broken
+        reverse_broken = :EnzymeReverse in broken || :Enzyme in broken
+        if forward_broken
+            @test_broken(
+                collect(et, Enzyme.gradient(Enzyme.Forward, f, x)) ≈ finitediff,
+                rtol = rtol,
+                atol = atol
+            )
+        else
+            @test(
+                collect(et, Enzyme.gradient(Enzyme.Forward, f, x)) ≈ finitediff,
+                rtol = rtol,
+                atol = atol
+            )
+        end
+        if reverse_broken
+            @test_broken(
+                Enzyme.gradient(Enzyme.Reverse, f, x) ≈ finitediff, rtol = rtol, atol = atol
+            )
+        else
+            @test(
+                Enzyme.gradient(Enzyme.Reverse, f, x) ≈ finitediff, rtol = rtol, atol = atol
+            )
+        end
+    end
+
     if (AD == "All" || AD == "Tapir") && VERSION >= v"1.10"
         rule = Tapir.build_rrule(f, x; safety_on=false)
         if :tapir in broken
diff --git a/test/runtests.jl b/test/runtests.jl
index eafc34bc..914c0e32 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -3,6 +3,7 @@ using Bijectors
 using ChainRulesTestUtils
 using Combinatorics
 using DistributionsAD
+using Enzyme
 using FiniteDifferences
 using ForwardDiff
 using Functors