diff --git a/ggml/src/ggml-cuda/ggml-cuda.cu b/ggml/src/ggml-cuda/ggml-cuda.cu
index 53eccdd65..31f5aeeac 100644
--- a/ggml/src/ggml-cuda/ggml-cuda.cu
+++ b/ggml/src/ggml-cuda/ggml-cuda.cu
@@ -5273,6 +5273,11 @@ static bool ggml_backend_cuda_device_supports_op(ggml_backend_dev_t dev, const g
         case GGML_OP_SUM:
             return ggml_is_contiguous_rows(op->src[0]);
         case GGML_OP_TOP_K:
+#if defined(GGML_USE_HIP) || defined(GGML_CUDA_USE_CUB)
+            return true;
+#else
+            return op->src[0]->ne[0] <= 1024;
+#endif // defined(GGML_USE_HIP) || defined(GGML_CUDA_USE_CUB)
         case GGML_OP_ARGSORT:
 #ifndef GGML_CUDA_USE_CUB
             return op->src[0]->ne[0] <= 1024;
diff --git a/ggml/src/ggml-cuda/top-k.cu b/ggml/src/ggml-cuda/top-k.cu
index 9681cd293..c7a0c8317 100644
--- a/ggml/src/ggml-cuda/top-k.cu
+++ b/ggml/src/ggml-cuda/top-k.cu
@@ -48,6 +48,168 @@ static int next_power_of_2(int x) {
 
 #endif                            // CUB_TOP_K_AVAILABLE
 
+#if !defined(GGML_CUDA_USE_CUB) && defined(GGML_USE_HIP)
+
+static __device__ __forceinline__ uint32_t top_k_float_to_ordered(float value) {
+    const uint32_t bits = __float_as_uint(value);
+    const uint32_t mask = (uint32_t) (-(int32_t) (bits >> 31)) | 0x80000000U;
+    return bits ^ mask;
+}
+
+struct top_k_radix_state {
+    uint32_t prefix;
+    uint32_t prefix_mask;
+    int rank;
+    int greater_count;
+    int equal_count;
+};
+
+static __global__ void top_k_radix_init(top_k_radix_state * states, int nrows, int k) {
+    const int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row < nrows) {
+        states[row] = {0, 0, k, 0, 0};
+    }
+}
+
+template<int BLOCK_SIZE, int RADIX_BITS>
+static __global__ void top_k_radix_histogram(
+        const float * __restrict__ src,
+        const top_k_radix_state * __restrict__ states,
+        int * __restrict__ block_histograms,
+        int ncols,
+        int blocks_per_row,
+        int shift) {
+    constexpr int NBINS = 1 << RADIX_BITS;
+
+    const int row = blockIdx.x / blocks_per_row;
+    const int row_block = blockIdx.x % blocks_per_row;
+    const int tid = threadIdx.x;
+    const float * row_src = src + (size_t) row * ncols;
+    __shared__ int histogram[NBINS];
+
+    histogram[tid] = 0;
+    __syncthreads();
+
+    const top_k_radix_state state = states[row];
+    for (int col = row_block * BLOCK_SIZE + tid;
+         col < ncols;
+         col += blocks_per_row * BLOCK_SIZE) {
+        const uint32_t key = top_k_float_to_ordered(row_src[col]);
+        if ((key & state.prefix_mask) == state.prefix) {
+            atomicAdd(&histogram[(key >> shift) & (NBINS - 1)], 1);
+        }
+    }
+    __syncthreads();
+
+    const size_t histogram_offset =
+        ((size_t) row * blocks_per_row + row_block) * NBINS;
+    block_histograms[histogram_offset + tid] = histogram[tid];
+}
+
+template<int BLOCK_SIZE, int RADIX_BITS>
+static __global__ void top_k_radix_select(
+        const int * __restrict__ block_histograms,
+        top_k_radix_state * __restrict__ states,
+        int blocks_per_row,
+        int shift) {
+    constexpr int NBINS = 1 << RADIX_BITS;
+
+    const int row = blockIdx.x;
+    const int tid = threadIdx.x;
+    __shared__ int histogram[NBINS];
+
+    int count = 0;
+    for (int row_block = 0; row_block < blocks_per_row; ++row_block) {
+        const size_t offset = ((size_t) row * blocks_per_row + row_block) * NBINS;
+        count += block_histograms[offset + tid];
+    }
+    histogram[tid] = count;
+    __syncthreads();
+
+    if (tid == 0) {
+        top_k_radix_state state = states[row];
+        int bin = NBINS - 1;
+        while (bin > 0 && histogram[bin] < state.rank) {
+            state.rank -= histogram[bin--];
+        }
+        state.prefix |= (uint32_t) bin << shift;
+        state.prefix_mask |= (uint32_t) (NBINS - 1) << shift;
+        states[row] = state;
+    }
+}
+
+static __global__ void top_k_radix_reset_counters(top_k_radix_state * states, int nrows) {
+    const int row = blockIdx.x * blockDim.x + threadIdx.x;
+    if (row < nrows) {
+        states[row].greater_count = 0;
+        states[row].equal_count = 0;
+    }
+}
+
+template<int BLOCK_SIZE>
+static __global__ void top_k_radix_gather(
+        const float * __restrict__ src,
+        int * __restrict__ dst,
+        top_k_radix_state * __restrict__ states,
+        int ncols,
+        int k,
+        int blocks_per_row) {
+    const int row = blockIdx.x / blocks_per_row;
+    const int row_block = blockIdx.x % blocks_per_row;
+    const int tid = threadIdx.x;
+    const float * row_src = src + (size_t) row * ncols;
+    int * row_dst = dst + (size_t) row * k;
+    top_k_radix_state * state = &states[row];
+
+    for (int col = row_block * BLOCK_SIZE + tid;
+         col < ncols;
+         col += blocks_per_row * BLOCK_SIZE) {
+        const uint32_t key = top_k_float_to_ordered(row_src[col]);
+        if (key > state->prefix) {
+            const int pos = atomicAdd(&state->greater_count, 1);
+            row_dst[pos] = col;
+        } else if (key == state->prefix) {
+            const int pos = atomicAdd(&state->equal_count, 1);
+            if (pos < state->rank) {
+                row_dst[k - state->rank + pos] = col;
+            }
+        }
+    }
+}
+
+static void top_k_radix_cuda(
+        ggml_cuda_pool & pool,
+        const float * src, int * dst, int ncols, int nrows, int k, cudaStream_t stream) {
+    constexpr int BLOCK_SIZE = 256;
+    constexpr int RADIX_BITS = 8;
+    constexpr int NBINS = 1 << RADIX_BITS;
+    const int blocks_per_row = std::min((ncols + 1023) / 1024, 64);
+
+    ggml_cuda_pool_alloc<top_k_radix_state> states_alloc(pool, nrows);
+    ggml_cuda_pool_alloc<int> histograms_alloc(pool, (size_t) nrows * blocks_per_row * NBINS);
+    top_k_radix_state * states = states_alloc.get();
+    int * histograms = histograms_alloc.get();
+
+    top_k_radix_init<<<(nrows + BLOCK_SIZE - 1) / BLOCK_SIZE, BLOCK_SIZE, 0, stream>>>(states, nrows, k);
+
+    const dim3 row_grid(blocks_per_row * nrows);
+    for (int shift = 32 - RADIX_BITS; shift >= 0; shift -= RADIX_BITS) {
+        top_k_radix_histogram<BLOCK_SIZE, RADIX_BITS>
+            <<<row_grid, BLOCK_SIZE, 0, stream>>>(
+                src, states, histograms, ncols, blocks_per_row, shift);
+        top_k_radix_select<BLOCK_SIZE, RADIX_BITS>
+            <<<nrows, BLOCK_SIZE, 0, stream>>>(histograms, states, blocks_per_row, shift);
+    }
+
+    top_k_radix_reset_counters
+        <<<(nrows + BLOCK_SIZE - 1) / BLOCK_SIZE, BLOCK_SIZE, 0, stream>>>(states, nrows);
+    top_k_radix_gather<BLOCK_SIZE>
+        <<<row_grid, BLOCK_SIZE, 0, stream>>>(
+            src, dst, states, ncols, k, blocks_per_row);
+}
+
+#endif // !defined(GGML_CUDA_USE_CUB) && defined(GGML_USE_HIP)
+
 void ggml_cuda_op_top_k(ggml_backend_cuda_context & ctx, ggml_tensor * dst) {
     const ggml_tensor * src0   = dst->src[0];
     const float *       src0_d = (const float *) src0->data;
@@ -96,10 +258,18 @@ void ggml_cuda_op_top_k(ggml_backend_cuda_context & ctx, ggml_tensor * dst) {
         dst_d  += k     * iter_nrows;
     }
 #else                             // GGML_CUDA_USE_CUB
-    ggml_cuda_pool_alloc<int> temp_dst_alloc(pool, ncols * nrows);
-    int *                     tmp_dst = temp_dst_alloc.get();
-    argsort_f32_i32_cuda_bitonic(src0_d, tmp_dst, ncols, nrows, GGML_SORT_ORDER_DESC, stream);
-    CUDA_CHECK(cudaMemcpy2DAsync(dst_d, k * sizeof(int), tmp_dst, ncols * sizeof(int), k * sizeof(int), nrows,
-                                 cudaMemcpyDeviceToDevice, stream));
+#if defined(GGML_USE_HIP)
+    if (ncols > 1024) {
+        top_k_radix_cuda(pool, src0_d, dst_d, ncols, nrows, k, stream);
+    } else {
+#endif // defined(GGML_USE_HIP)
+        ggml_cuda_pool_alloc<int> temp_dst_alloc(pool, ncols * nrows);
+        int *                     tmp_dst = temp_dst_alloc.get();
+        argsort_f32_i32_cuda_bitonic(src0_d, tmp_dst, ncols, nrows, GGML_SORT_ORDER_DESC, stream);
+        CUDA_CHECK(cudaMemcpy2DAsync(dst_d, k * sizeof(int), tmp_dst, ncols * sizeof(int), k * sizeof(int), nrows,
+                                     cudaMemcpyDeviceToDevice, stream));
+#if defined(GGML_USE_HIP)
+    }
+#endif // defined(GGML_USE_HIP)
 #endif
 }