Recently I was working on my workstation and I came across this issue. Few days before, everything was fine and I was able to check out my projects from my preferred Git repository. There are many reasons that lead to these errors. It is not the purpose of this blog post to list them but to suggest the appropriate solutions.
This problem started with Eclipse and its plugin EGit. It is fairly easy to stop Eclipse verifying the SSL certificate.
For other developers on the web, the problem was fixed after they had restarted they development workstation.
With Eclipse, go to Window > Preferences > Team > Git > Configuration > New Entry. Then add http.sslverify=false.
Please refer to the illustration.
After you configure your eclipse with this new configuration key/value pair, then your issue will go away.