diff --git a/cpp/src/arrow/util/logging.cc b/cpp/src/arrow/util/logging.cc
index 33336c25a0da2..df3023df598f8 100644
--- a/cpp/src/arrow/util/logging.cc
+++ b/cpp/src/arrow/util/logging.cc
@@ -66,7 +66,7 @@ class CerrLog {
  public:
   explicit CerrLog(ArrowLogLevel severity) : severity_(severity), has_logged_(false) {}
 
-  virtual ~CerrLog() noexcept(false) {
+  virtual ~CerrLog() {
     if (has_logged_) {
       stream << std::endl;
     }
@@ -246,7 +246,7 @@ std::ostream& ArrowLog::Stream() {
 
 bool ArrowLog::IsEnabled() const { return is_enabled_; }
 
-ArrowLog::~ArrowLog() noexcept(false) {
+ArrowLog::~ArrowLog() {
   if (logging_provider_ != nullptr) {
     delete reinterpret_cast<LoggingProvider*>(logging_provider_);
     logging_provider_ = nullptr;
diff --git a/cpp/src/arrow/util/logging.h b/cpp/src/arrow/util/logging.h
index 406e5a3b749c0..2baa560563bb4 100644
--- a/cpp/src/arrow/util/logging.h
+++ b/cpp/src/arrow/util/logging.h
@@ -157,7 +157,7 @@ enum class ArrowLogLevel : int {
 // This is also a null log which does not output anything.
 class ARROW_EXPORT ArrowLogBase {
  public:
-  virtual ~ArrowLogBase() noexcept(false) {}
+  virtual ~ArrowLogBase() {}
 
   virtual bool IsEnabled() const { return false; }
 
@@ -176,7 +176,7 @@ class ARROW_EXPORT ArrowLogBase {
 class ARROW_EXPORT ArrowLog : public ArrowLogBase {
  public:
   ArrowLog(const char* file_name, int line_number, ArrowLogLevel severity);
-  ~ArrowLog() noexcept(false) override;
+  ~ArrowLog() override;
 
   /// Return whether or not current logging instance is enabled.
   ///