This one's a bit tricky - in French, you wouldn't really say "My birthday is on the ___". Instead, you'd say "I was born on the ___."
How To Tell Somebody When Your Birthday Is In French
We'll use the 24th of July as an example here:
Je suis né(e) le vingt-quatre Juillet. = I was born on the 24th of July.
If somebody asked you when your birthday was, you would reply "C'est le vingt-quatre Juillet" or just "Le vingt-quatre Juillet."
How To Ask Somebody When Their Birthday Is
Textbook French is quite different to colloquial French; if you wanted to speak like a native, you could ask someone when their birthday is in one of the following ways:
T'es né(e) quand? This literally translates as "You were born when?" but means "When were you born?"
C'est quand ton anniversaire? The literal translation for this one is "It's when, your birthday?" but you'd use it to mean "When's your birthday?"