diff --git a/include/spblas/vendor/cusparse/cusparse.hpp b/include/spblas/vendor/cusparse/cusparse.hpp
index 7caa698..26c1d64 100644
--- a/include/spblas/vendor/cusparse/cusparse.hpp
+++ b/include/spblas/vendor/cusparse/cusparse.hpp
@@ -1,3 +1,4 @@
 #pragma once
 
 #include "multiply.hpp"
+#include "trisolve.hpp"
diff --git a/include/spblas/vendor/cusparse/trisolve.hpp b/include/spblas/vendor/cusparse/trisolve.hpp
new file mode 100644
index 0000000..7afa9d0
--- /dev/null
+++ b/include/spblas/vendor/cusparse/trisolve.hpp
@@ -0,0 +1,123 @@
+#pragma once
+
+#include <cstdint>
+#include <functional>
+#include <memory>
+#include <type_traits>
+
+#include <cuda_runtime.h>
+#include <cusparse.h>
+
+#include <spblas/detail/ranges.hpp>
+#include <spblas/detail/triangular_types.hpp>
+#include <spblas/detail/view_inspectors.hpp>
+
+#include "cuda_allocator.hpp"
+#include "detail/cusparse_tensors.hpp"
+#include "exception.hpp"
+#include "types.hpp"
+
+namespace spblas {
+class triangular_solve_state_t {
+public:
+  triangular_solve_state_t()
+      : triangular_solve_state_t(cusparse::cuda_allocator<char>{}) {}
+
+  triangular_solve_state_t(cusparse::cuda_allocator<char> alloc)
+      : alloc_(alloc), buffer_size_(0), workspace_(nullptr) {
+    cusparseHandle_t handle;
+    __cusparse::throw_if_error(cusparseCreate(&handle));
+    if (auto stream = alloc.stream()) {
+      cusparseSetStream(handle, stream);
+    }
+    handle_ = handle_manager(handle, [](cusparseHandle_t handle) {
+      __cusparse::throw_if_error(cusparseDestroy(handle));
+    });
+  }
+
+  triangular_solve_state_t(cusparse::cuda_allocator<char> alloc,
+                           cusparseHandle_t handle)
+      : alloc_(alloc), buffer_size_(0), workspace_(nullptr) {
+    handle_ = handle_manager(handle, [](cusparseHandle_t handle) {
+      // it is provided by user, we do not delete it at all.
+    });
+  }
+
+  ~triangular_solve_state_t() {
+    alloc_.deallocate(workspace_);
+  }
+
+  template <matrix A, class Triangle, class DiagonalStorage, vector B, vector C>
+    requires __detail::has_csr_base<A> &&
+             __detail::has_contiguous_range_base<B> &&
+             __ranges::contiguous_range<C>
+  void triangular_solve(A&& a, Triangle uplo, DiagonalStorage diag, B&& b,
+                        C&& c) {
+    auto a_base = __detail::get_ultimate_base(a);
+    auto b_base = __detail::get_ultimate_base(b);
+    using matrix_type = decltype(a_base);
+    using value_type = typename matrix_type::scalar_type;
+    // the following needs to be non-const because cusparseSpMatSetAttribute
+    // only accept void*
+    auto diag_type = std::is_same_v<DiagonalStorage, explicit_diagonal_t>
+                         ? CUSPARSE_DIAG_TYPE_NON_UNIT
+                         : CUSPARSE_DIAG_TYPE_UNIT;
+    auto fill_mode = std::is_same_v<Triangle, upper_triangle_t>
+                         ? CUSPARSE_FILL_MODE_UPPER
+                         : CUSPARSE_FILL_MODE_LOWER;
+
+    auto a_descr = __cusparse::create_cusparse_handle(a_base);
+    auto b_descr = __cusparse::create_cusparse_handle(b_base);
+    auto c_descr = __cusparse::create_cusparse_handle(c);
+
+    __cusparse::throw_if_error(cusparseSpMatSetAttribute(
+        a_descr, CUSPARSE_SPMAT_FILL_MODE, &fill_mode, sizeof(fill_mode)));
+    __cusparse::throw_if_error(cusparseSpMatSetAttribute(
+        a_descr, CUSPARSE_SPMAT_DIAG_TYPE, &diag_type, sizeof(diag_type)));
+    value_type alpha = 1.0;
+    size_t buffer_size = 0;
+    auto handle = this->handle_.get();
+    cusparseSpSVDescr_t descr;
+    cusparseSpSV_createDescr(&descr);
+    __cusparse::throw_if_error(cusparseSpSV_bufferSize(
+        handle, CUSPARSE_OPERATION_NON_TRANSPOSE, &alpha, a_descr, b_descr,
+        c_descr, detail::cuda_data_type_v<value_type>,
+        CUSPARSE_SPSV_ALG_DEFAULT, descr, &buffer_size));
+    if (buffer_size > this->buffer_size_) {
+      this->alloc_.deallocate(workspace_, this->buffer_size_);
+      this->buffer_size_ = buffer_size;
+      workspace_ = this->alloc_.allocate(buffer_size);
+    }
+    __cusparse::throw_if_error(cusparseSpSV_analysis(
+        handle, CUSPARSE_OPERATION_NON_TRANSPOSE, &alpha, a_descr, b_descr,
+        c_descr, detail::cuda_data_type_v<value_type>,
+        CUSPARSE_SPSV_ALG_DEFAULT, descr, this->workspace_));
+    __cusparse::throw_if_error(cusparseSpSV_solve(
+        handle, CUSPARSE_OPERATION_NON_TRANSPOSE, &alpha, a_descr, b_descr,
+        c_descr, detail::cuda_data_type_v<value_type>,
+        CUSPARSE_SPSV_ALG_DEFAULT, descr));
+    __cusparse::throw_if_error(cusparseDestroySpMat(a_descr));
+    __cusparse::throw_if_error(cusparseDestroyDnVec(b_descr));
+    __cusparse::throw_if_error(cusparseDestroyDnVec(c_descr));
+  }
+
+private:
+  using handle_manager =
+      std::unique_ptr<std::pointer_traits<cusparseHandle_t>::element_type,
+                      std::function<void(cusparseHandle_t)>>;
+  handle_manager handle_;
+  cusparse::cuda_allocator<char> alloc_;
+  std::uint64_t buffer_size_;
+  char* workspace_;
+};
+
+template <matrix A, class Triangle, class DiagonalStorage, vector B, vector C>
+  requires __detail::has_csr_base<A> &&
+           __detail::has_contiguous_range_base<B> &&
+           __ranges::contiguous_range<C>
+void triangular_solve(triangular_solve_state_t& trisolve_handle, A&& a,
+                      Triangle uplo, DiagonalStorage diag, B&& b, C&& c) {
+  trisolve_handle.triangular_solve(a, uplo, diag, b, c);
+}
+
+} // namespace spblas
diff --git a/test/gtest/CMakeLists.txt b/test/gtest/CMakeLists.txt
index f1d1504..2bb7f55 100644
--- a/test/gtest/CMakeLists.txt
+++ b/test/gtest/CMakeLists.txt
@@ -20,7 +20,7 @@ if (SPBLAS_GPU_BACKEND)
     set(GPUTEST_SOURCES device/spmv_test.cpp device/spgemm_test.cpp device/spgemm_reuse_test.cpp device/rocsparse/spgemm_4args_test.cpp device/triangular_solve_test.cpp)
     set_source_files_properties(${GPUTEST_SOURCES} PROPERTIES LANGUAGE HIP)
   else ()
-    set(GPUTEST_SOURCES device/spmv_test.cpp)
+    set(GPUTEST_SOURCES device/spmv_test.cpp device/triangular_solve_test.cpp)
   endif ()
   list(APPEND TEST_SOURCES ${GPUTEST_SOURCES})
 endif()