When I try to check update, there is a message: Error: 0 No HTTP response received

It is highly probable that it has appeared after I updated framework.

Dear Katarzyna Meszka,

Could you please explain your issue in more detail? Please send the screenshots to me if possible.

Thanks!

Of course. I attach a screenshot. When I enter Joomla Update I can see the message from the screenshot.

Dear Katarzyna Meszka

Please go to System > Global Configuration :
Installation Manager -> update caching "0"
Joomla! Update -> update server "recommended" if you change this before this happen when you try to install from manager yes you can update from this menu

Thanks!