Release file in github page

I create a release version with a file to download
I want to show this file in github page

I’m not sure what you’re asking exactly. Do you already have a GHPages website for that repository?

If so, you only need to edit it’s contents manually and add a link to the latest release’s downloadable file.

Or are trying to automate this process? I.e. that for each new release the download link is also updated on the website?

If you could provide links to both the repository and its website it would help.