Launcher error: Code 961

Likely Kaspersky somehow , the launcher is like a web browser so any AV processes that insert into a web browser can affect the launcher 

best way to know is to uninstall Kaspersky temporarily 

an old issue use to be regarding secure connections but that was like a decade ago - see example at this link

Disable Secure Connections Scanning: Open Kaspersky, go to Settings > Network Settings, and ensure "Scan encrypted connections" is turned off

Im using Kaspersky, i had turned it off and run the launcher as admin right after rebooting my pc. It didnt work. I re-installed the entire game and it still wont work. Tho the version installed from steam works. I have no idea what cause such difference.

What anti virus are you using ? have you tried uninstalling the antivirus ( reboot the pc) and test , then reinstall the antivirus 

Does the steam version of the launcher do the same thing

This is normally a communication issue commonly caused by an antivirus but a firewall / port block could also cause it
Maybe try a clean boot too per this guide

I'm not using Avast and i have disable my anti-virus, still getting same error Code 961. Its been two weeks. 

normally seen with systems using avast antivirus

try adding launcher.exe or the entire swtor folder to the exception list 

If using Avast, Open Avast, go to Settings > General > Exceptions, and add the folder C:\Program Files (x86)\Electronic Arts\BioWare\Star Wars - The Old Republic.