diff --git a/cpp/src/arrow/compute/kernels/vector_statistics.cc b/cpp/src/arrow/compute/kernels/vector_statistics.cc
index 074f2ec0a738..df997ac25bf9 100644
--- a/cpp/src/arrow/compute/kernels/vector_statistics.cc
+++ b/cpp/src/arrow/compute/kernels/vector_statistics.cc
@@ -32,6 +32,7 @@
 #include "arrow/scalar.h"
 #include "arrow/status.h"
 #include "arrow/util/bit_run_reader.h"
+#include "arrow/util/bitmap_ops.h"
 #include "arrow/util/checked_cast.h"
 #include "arrow/util/logging_internal.h"
 
@@ -127,7 +128,21 @@ struct Winsorize {
     DCHECK_EQ(out->buffers.size(), data.buffers.size());
     out->null_count = data.null_count.load();
     out->length = data.length;
-    out->buffers[0] = data.buffers[0];
+    // ExecChunked seeds the output from the input chunk, so it can arrive carrying that
+    // chunk's offset. The buffers below are built for this slice alone and are read from
+    // bit and element zero, so the output owns no offset of its own.
+    out->offset = 0;
+    // A zero-offset input can share its validity bitmap, because the output is read from
+    // bit 0 as well. A sliced input cannot: sharing would read the bitmap from bit 0
+    // instead of from `data.offset`, so copy the slice's bits out.
+    if (data.buffers[0] && data.offset != 0) {
+      ARROW_ASSIGN_OR_RAISE(
+          out->buffers[0],
+          arrow::internal::CopyBitmap(ctx->memory_pool(), data.buffers[0]->data(),
+                                      data.offset, data.length));
+    } else {
+      out->buffers[0] = data.buffers[0];
+    }
     ARROW_ASSIGN_OR_RAISE(out->buffers[1], ctx->Allocate(out->length * sizeof(CType)));
     // Avoid leaving uninitialized memory under null entries
     std::memset(out->buffers[1]->mutable_data(), 0, out->length * sizeof(CType));
diff --git a/cpp/src/arrow/compute/kernels/vector_statistics_test.cc b/cpp/src/arrow/compute/kernels/vector_statistics_test.cc
index 97715cdaedd2..119481f59493 100644
--- a/cpp/src/arrow/compute/kernels/vector_statistics_test.cc
+++ b/cpp/src/arrow/compute/kernels/vector_statistics_test.cc
@@ -87,6 +87,48 @@ TEST_F(TestWinsorize, FloatingPoint) {
   }
 }
 
+TEST_F(TestWinsorize, SlicedInput) {
+  // GH-51224: the output is zero-offset, so a sliced input's validity bitmap must be
+  // copied from the slice rather than shared, otherwise it is read from bit 0.
+  for (auto type : FloatingPointTypes()) {
+    options_.lower_limit = 0.0;
+    options_.upper_limit = 1.0;
+    // The parent's leading nulls sit at different positions than the slice's, so sharing
+    // the bitmap would move the nulls.
+    auto parent = ArrayFromJSON(type, "[1.1, 2.2, null, 4.4, null, 6.6, 7.7, 8.8]");
+    auto expected = ArrayFromJSON(type, "[null, 4.4, null, 6.6, 7.7]");
+    CheckWinsorize(parent->Slice(2, 5), expected);
+  }
+  for (auto type : IntTypes()) {
+    options_.lower_limit = 0.0;
+    options_.upper_limit = 1.0;
+    auto parent = ArrayFromJSON(type, "[1, 2, null, 4, null, 6, 7, 8]");
+    auto expected = ArrayFromJSON(type, "[null, 4, null, 6, 7]");
+    CheckWinsorize(parent->Slice(2, 5), expected);
+  }
+  // A slice of an array with no nulls at all keeps the null-free fast path.
+  options_.lower_limit = 0.25;
+  options_.upper_limit = 0.75;
+  auto dense = ArrayFromJSON(float64(), "[1.0, 2.0, 3.0, 44.0, 55.0, 66.0, 77.0]");
+  CheckWinsorize(dense->Slice(1, 5),
+                 ArrayFromJSON(float64(), "[3.0, 3.0, 44.0, 55.0, 55.0]"));
+}
+
+TEST_F(TestWinsorize, SlicedChunkedInput) {
+  // ExecChunked seeds each output from the input chunk, so a sliced chunk carries a
+  // non-zero offset into ClipValues. The output buffers cover the slice alone.
+  options_.lower_limit = 0.0;
+  options_.upper_limit = 1.0;
+  auto parent = ArrayFromJSON(float64(), "[1.1, 2.2, null, 4.4, null, 6.6, 7.7, 8.8]");
+  auto chunked = std::make_shared<ChunkedArray>(
+      ArrayVector{parent->Slice(2, 3), parent->Slice(5, 3)});
+  auto expected = std::make_shared<ChunkedArray>(ArrayVector{
+      ArrayFromJSON(float64(), "[null, 4.4, null]"),
+      ArrayFromJSON(float64(), "[6.6, 7.7, 8.8]"),
+  });
+  CheckWinsorize(chunked, expected);
+}
+
 TEST_F(TestWinsorize, Integral) {
   for (auto type : IntTypes()) {
     options_.lower_limit = 0.25;