Error when adding SSL certificate for WebSite binding in IIS

When I try to add https binding for my site in IIS I select Binding menu, then certificate that I want to use from drop down list and after I click OK I got an error

Error during operation - A device attached to the system is not functioning (Exception from HRESULT: 0x8007001F)

I've tried different certificates also checked that private keys are exportable

For IIS Host I use Windows 10 Pro 1803 and IIS 10.0.17763.1

UPDATE 1

I've also tried adding SSL certificate with

netsh http add sslcert 127.0.0.1:8035 certhash=hash appid={guid fo appid}

This approach also returned an error

SSL Certificate add failed, Error: 31 A device attached to the system is not functioning

I've updated cryptography service provider (CryptoPro CSP in my case) for a newer version and rebooted the system and error magically gone away