Mentioned bellow replay from Avast support team solved the problem:

"If you have this kind of problem and turning avast! off helps, it means that one part of avast!, the Web Shield, doesn't have access to the Internet. The solution allow the Web Shield to connect to Internet in your firewall.

You can remove the existing rules for avast in your firewall, then start an avast update (or
restart Windows to trigger an auto-update check). When the firewall asks, allow avast setup access
to the internet and create the rule again. If your firewall has an option that allows regular
program changes, then select this too.

To operate correctly the Web Shield process (AvastSVC.exe) needs a permission to access the
Internet (TCP port 80) and permission to act as a server and accept incoming connections from
localhost (the local machine) on TCP port 12080.

If this will not held you should disable or uninstall Comodo."

So I removed rule for Avast in Comodo Internet Security, switched on web shield in Avast and than created new rule for Avast in Comodo. Now all OK! :smiley: