You can download Adobe Flash Player for Windows XP by going to the Flash Player download page on the Adobe website, selecting the option in Step 1 that includes Windows XP, select the browser type you use from the list in Step 2, and click the Download Now button. Your browser then navigates to the next page, which automatically starts the download of the Adobe Flash Player installer into your default download folder.
After the download completes, open your download folder, and double-click the installer file. You may receive a security warning and user account control warning, click the Run or Yes button as applicable to continue. This allows the Adobe Flash Player Installer to open. The installer's first screen requests your preference for the frequency of updates, ranging from automatic to none.
The installer recommends that you allow Adobe Flash Player to automatically update. After making your selection, click the Next button to continue with the installation. Adobe Flash Player now proceeds to download and install to your computer. When the installation is complete, click the Finish button.
If your browser was open while the installation took place, you may need to close and re-open it for the installation to take effect.