Why is the rotation and revolution period for the Moon equal?

Therefore, the moon does rotate, just once per orbit. Its a phenomenon known as 'synchronous rotation' and is commonly seen on other 'tidally-locked' moon systems in our solar system. So, it's the tidal forces exerted on both bodies that creates the bulges resulting in the same hemisphere of the moon facing Earth. read more

The mass of the moon is much less than that of the Earth. It has been in orbit around the Earth for Billions of years since its formation/capture. read more

"The moon keeps the same face pointing towards the Earth because its rate of spin is tidally locked so that it is synchronized with its rate of revolution (the time needed to complete one orbit). In other words, the moon rotates exactly once every time it circles the Earth. read more