diff --git a/CHANGELOG.md b/CHANGELOG.md
index 3e391c6d746d..df70d7badbbc 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -3,6 +3,7 @@
 ## Current develop
 
 ### Added (new features/APIs/variables/...)
+- [[PR 1130]](https://github.com/parthenon-hpc-lab/parthenon/pull/1130) Enable `parthenon::par_reduce` for MD loops with Kokkos 1D Range
 - [[PR 1119]](https://github.com/parthenon-hpc-lab/parthenon/pull/1119) Formalize MeshData partitioning.
 - [[PR 1128]](https://github.com/parthenon-hpc-lab/parthenon/pull/1128) Add cycle and nbtotal to hst
 - [[PR 1099]](https://github.com/parthenon-hpc-lab/parthenon/pull/1099) Functionality for outputting task graphs in GraphViz format.
diff --git a/src/kokkos_abstraction.hpp b/src/kokkos_abstraction.hpp
index 2d74ce00932a..ca8c59ffe12e 100644
--- a/src/kokkos_abstraction.hpp
+++ b/src/kokkos_abstraction.hpp
@@ -258,6 +258,35 @@ par_dispatch(LoopPatternMDRange, const std::string &name, DevExecSpace exec_spac
                   function, std::forward<Args>(args)...);
 }
 
+template <typename, typename>
+class FlatFunctor;
+
+template <typename F, typename... Args>
+auto MakeFlatFunctor(F &function, Args... args) {
+  return FlatFunctor<F, decltype(&F::operator())>(function, std::forward<Args>(args)...);
+}
+
+template <typename Function, typename R, typename T, typename Index, typename... FArgs>
+class FlatFunctor<Function, R (T::*)(Index, Index, Index, FArgs...) const> {
+  int NjNi, Ni, kl, jl, il;
+  Function function;
+
+ public:
+  FlatFunctor(const Function _function, const int _NjNi, const int _Ni, const int _kl,
+              const int _jl, const int _il)
+      : function(_function), NjNi(_NjNi), Ni(_Ni), kl(_kl), jl(_jl), il(_il) {}
+  KOKKOS_INLINE_FUNCTION
+  void operator()(const int &idx, FArgs &&...fargs) const {
+    int k = idx / NjNi;
+    int j = (idx - k * NjNi) / Ni;
+    int i = idx - k * NjNi - j * Ni;
+    k += kl;
+    j += jl;
+    i += il;
+    function(k, j, i, std::forward<FArgs>(fargs)...);
+  }
+};
+
 // 3D loop using Kokkos 1D Range
 template <typename Tag, typename Function, class... Args>
 inline typename std::enable_if<sizeof...(Args) <= 1, void>::type
@@ -270,18 +299,9 @@ par_dispatch(LoopPatternFlatRange, const std::string &name, DevExecSpace exec_sp
   const int Ni = iu - il + 1;
   const int NkNjNi = Nk * Nj * Ni;
   const int NjNi = Nj * Ni;
-  kokkos_dispatch(
-      tag, name, Kokkos::RangePolicy<>(exec_space, 0, NkNjNi),
-      KOKKOS_LAMBDA(const int &idx) {
-        int k = idx / NjNi;
-        int j = (idx - k * NjNi) / Ni;
-        int i = idx - k * NjNi - j * Ni;
-        k += kl;
-        j += jl;
-        i += il;
-        function(k, j, i);
-      },
-      std::forward<Args>(args)...);
+  kokkos_dispatch(tag, name, Kokkos::RangePolicy<>(exec_space, 0, NkNjNi),
+                  MakeFlatFunctor(function, NjNi, Ni, kl, jl, il),
+                  std::forward<Args>(args)...);
 }
 
 // 3D loop using MDRange loops
@@ -372,6 +392,30 @@ inline void par_dispatch(LoopPatternSimdFor, const std::string &name,
         function(k, j, i);
 }
 
+template <typename Function, typename R, typename T, typename Index, typename... FArgs>
+class FlatFunctor<Function, R (T::*)(Index, Index, Index, Index, FArgs...) const> {
+  int NkNjNi, NjNi, Ni, nl, kl, jl, il;
+  Function function;
+
+ public:
+  FlatFunctor(const Function _function, const int _NkNjNi, const int _NjNi, const int _Ni,
+              const int _nl, const int _kl, const int _jl, const int _il)
+      : function(_function), NkNjNi(_NkNjNi), NjNi(_NjNi), Ni(_Ni), nl(_nl), kl(_kl),
+        jl(_jl), il(_il) {}
+  KOKKOS_INLINE_FUNCTION
+  void operator()(const int &idx, FArgs &&...fargs) const {
+    int n = idx / NkNjNi;
+    int k = (idx - n * NkNjNi) / NjNi;
+    int j = (idx - n * NkNjNi - k * NjNi) / Ni;
+    int i = idx - n * NkNjNi - k * NjNi - j * Ni;
+    n += nl;
+    k += kl;
+    j += jl;
+    i += il;
+    function(n, k, j, i, std::forward<FArgs>(fargs)...);
+  }
+};
+
 // 4D loop using Kokkos 1D Range
 template <typename Tag, typename Function, class... Args>
 inline typename std::enable_if<sizeof...(Args) <= 1, void>::type
@@ -387,20 +431,9 @@ par_dispatch(LoopPatternFlatRange, const std::string &name, DevExecSpace exec_sp
   const int NnNkNjNi = Nn * Nk * Nj * Ni;
   const int NkNjNi = Nk * Nj * Ni;
   const int NjNi = Nj * Ni;
-  kokkos_dispatch(
-      tag, name, Kokkos::RangePolicy<>(exec_space, 0, NnNkNjNi),
-      KOKKOS_LAMBDA(const int &idx) {
-        int n = idx / NkNjNi;
-        int k = (idx - n * NkNjNi) / NjNi;
-        int j = (idx - n * NkNjNi - k * NjNi) / Ni;
-        int i = idx - n * NkNjNi - k * NjNi - j * Ni;
-        n += nl;
-        k += kl;
-        j += jl;
-        i += il;
-        function(n, k, j, i);
-      },
-      std::forward<Args>(args)...);
+  kokkos_dispatch(tag, name, Kokkos::RangePolicy<>(exec_space, 0, NnNkNjNi),
+                  MakeFlatFunctor(function, NkNjNi, NjNi, Ni, nl, kl, jl, il),
+                  std::forward<Args>(args)...);
 }
 
 // 4D loop using MDRange loops
diff --git a/tst/unit/kokkos_abstraction.cpp b/tst/unit/kokkos_abstraction.cpp
index 0adc61c441b0..ae0e3fcb79e8 100644
--- a/tst/unit/kokkos_abstraction.cpp
+++ b/tst/unit/kokkos_abstraction.cpp
@@ -500,12 +500,85 @@ bool test_wrapper_reduce_1d(T loop_pattern, DevExecSpace exec_space) {
   return total == test_tot;
 }
 
+template <class T>
+bool test_wrapper_reduce_3d(T loop_pattern, DevExecSpace exec_space) {
+  constexpr int N = 10;
+  parthenon::ParArray3D<int> buffer("Testing buffer", N, N, N);
+  // Initialize data
+  parthenon::par_for(
+      loop_pattern, "Initialize parallel reduce array", exec_space, 0, N - 1, 0, N - 1, 0,
+      N - 1, KOKKOS_LAMBDA(const int k, const int j, const int i) {
+        buffer(k, j, i) = i + j + k;
+      });
+  int tot = 0;
+  for (int k = 0; k < N; ++k) {
+    for (int j = 0; j < N; ++j) {
+      for (int i = 0; i < N; ++i) {
+        tot += i + j + k;
+      }
+    }
+  }
+  int test_tot = 0;
+  parthenon::par_reduce(
+      loop_pattern, "Sum via par reduce", exec_space, 0, N - 1, 0, N - 1, 0, N - 1,
+      KOKKOS_LAMBDA(const int k, const int j, const int i, int &t) { t += i + j + k; },
+      Kokkos::Sum<int>(test_tot));
+  return tot == test_tot;
+}
+
+template <class T>
+bool test_wrapper_reduce_4d(T loop_pattern, DevExecSpace exec_space) {
+  constexpr int N = 10;
+  parthenon::ParArray4D<int> buffer("Testing buffer", N, N, N, N);
+  // Initialize data
+  parthenon::par_for(
+      loop_pattern, "Initialize parallel reduce array", exec_space, 0, N - 1, 0, N - 1, 0,
+      N - 1, 0, N - 1, KOKKOS_LAMBDA(const int n, const int k, const int j, const int i) {
+        buffer(n, k, j, i) = i + j + k + n;
+      });
+  int tot = 0;
+  for (int n = 0; n < N; ++n) {
+    for (int k = 0; k < N; ++k) {
+      for (int j = 0; j < N; ++j) {
+        for (int i = 0; i < N; ++i) {
+          tot += i + j + k + n;
+        }
+      }
+    }
+  }
+  int test_tot = 0;
+  parthenon::par_reduce(
+      loop_pattern, "Sum via par reduce", exec_space, 0, N - 1, 0, N - 1, 0, N - 1, 0,
+      N - 1,
+      KOKKOS_LAMBDA(const int n, const int k, const int j, const int i, int &t) {
+        t += i + j + k + n;
+      },
+      Kokkos::Sum<int>(test_tot));
+  return tot == test_tot;
+}
+
 TEST_CASE("Parallel reduce", "[par_reduce]") {
   auto default_exec_space = DevExecSpace();
-  REQUIRE(test_wrapper_reduce_1d(parthenon::loop_pattern_flatrange_tag,
-                                 default_exec_space) == true);
-  if constexpr (std::is_same<DevExecSpace, Kokkos::Serial>::value) {
-    REQUIRE(test_wrapper_reduce_1d(parthenon::loop_pattern_simdfor_tag,
+  SECTION("1D loops") {
+    REQUIRE(test_wrapper_reduce_1d(parthenon::loop_pattern_flatrange_tag,
+                                   default_exec_space) == true);
+    if constexpr (std::is_same<DevExecSpace, Kokkos::Serial>::value) {
+      REQUIRE(test_wrapper_reduce_1d(parthenon::loop_pattern_simdfor_tag,
+                                     default_exec_space) == true);
+    }
+  }
+
+  SECTION("3D loops") {
+    REQUIRE(test_wrapper_reduce_3d(parthenon::loop_pattern_flatrange_tag,
+                                   default_exec_space) == true);
+    REQUIRE(test_wrapper_reduce_3d(parthenon::loop_pattern_mdrange_tag,
+                                   default_exec_space) == true);
+  }
+
+  SECTION("4D loops") {
+    REQUIRE(test_wrapper_reduce_4d(parthenon::loop_pattern_flatrange_tag,
+                                   default_exec_space) == true);
+    REQUIRE(test_wrapper_reduce_4d(parthenon::loop_pattern_mdrange_tag,
                                    default_exec_space) == true);
   }
 }