Be born
Incorrect : He took his birth in 1960.
Correct : He was born in 1960.
Note: Nobody can take a birth. You should express the idea of being born in the passive voice.
For example:
Five babies are born every minute in Bangladesh.
Many babies will be born tomorrow.
However, a mother can give birth to a baby. You can say:
She gave birth to a fine baby.
Or She bore/has borne three children.