Since there is no direct "download" button, you must use the built-in system tools to ensure you have the latest compatible version:
Download Safari Browser for Mac OS X 10.8.5 Mountain Lion Finding a way to download or update the Safari browser on is a common challenge for users maintaining older hardware. Because Safari is integrated into the macOS operating system, it does not have a standalone download page on the Apple website for this specific version. download safari browser for mac os x 10.8.5
If you are currently running Mountain Lion 10.8.5, the highest version of Safari your system can officially support is . How to Get Safari 6.2.8 on OS X 10.8.5 Since there is no direct "download" button, you