General surrender:
* la reddition (formal)
* la capitulation (formal, often used for military surrender)
* la soumission (less common, implies submission to authority)
* l'abandon (implies giving up, often used in a negative context)
To surrender something:
* abandonner (to give up, relinquish)
* céder (to yield, give in)
* resigner (to resign oneself to)
To surrender to someone/something:
* se rendre à (to surrender to, give in to)
Here are some examples:
* La reddition des troupes allemandes a marqué la fin de la guerre. (The surrender of German troops marked the end of the war.)
* Il a abandonné ses rêves de gloire. (He gave up his dreams of glory.)
* Elle a cédé à la tentation. (She gave in to temptation.)
* J'ai dû me rendre à l'évidence. (I had to face the facts.)
The best translation will depend on the specific situation.