In Address Book, File/New/CardDAV Address Book..., enter your gmail address and use this for the URL:

https://www.googleapis.com/carddav/v1/principals/yourname@gmail.com/lists/default/

Press Alt if the Menu Bar with File is hidden. Cookies must be accepted in TB Options for OAuth2 authentication.

Thanks for your answer but that option i dont have CardDAV is on the system

For TB 78, open Config. editor from Options/General/Indexing and toggle mail.addr_book.carddav.enabled to true. This isn't necessary in TB 91.

TB 78 running here, the editor have do the job, THANKS!

Is there also a solution to delete the default personal adres book? Now i have 2 (1 google and 1 personal)

Personal Address Book and Collected Addresses are defaults and cannot be removed, but their presence won't affect address autocomplete in the Write window or other functions.

Thanks for all the help, iam happy that it works now