diff --git a/cpp/src/arrow/array/statistics.h b/cpp/src/arrow/array/statistics.h
index 7357e27f41f..405809848a6 100644
--- a/cpp/src/arrow/array/statistics.h
+++ b/cpp/src/arrow/array/statistics.h
@@ -38,9 +38,6 @@ struct ARROW_EXPORT ArrayStatistics {
       std::variant<bool, int8_t, uint8_t, int16_t, uint16_t, int32_t, uint32_t, int64_t,
                    uint64_t, util::Float16, float, double, std::string, std::string_view>;
 
-  ArrayStatistics() = default;
-  ~ArrayStatistics() = default;
-
   /// \brief The number of null values, may not be set
   std::optional<int64_t> null_count = std::nullopt;