What is the name in Bugs Bunny and Tweety show?

The show you are referring to is called "The Bugs Bunny and Tweety Show". It is an American animated television series produced by Warner Bros. Animation. The series features the characters Bugs Bunny, Tweety Bird, Sylvester the Cat, and other characters from the Looney Tunes and Merrie Melodies franchises. It originally aired on ABC from 1960 to 1962, and later on CBS from 1962 to 1969.