Yes, the moon exerts a gravitational force on Earth. Every object with mass exerts a gravitational force on every other object with mass. The greater the mass of an object, the greater its gravitational force. Since the moon has mass, it exerts a gravitational force on Earth.

The moon's gravitational force is one of the primary causes of tides on Earth. As the moon orbits Earth, its gravitational force pulls on the oceans, causing them to rise and recede. The gravitational force of the moon is also responsible for the phenomenon of ocean currents.

The moon's gravitational force is not as strong as Earth's gravitational force, but it is still strong enough to have a significant impact on Earth's oceans and atmosphere.

In addition to the gravitational force that the moon exerts on Earth, Earth also exerts a gravitational force on the moon. This is why the moon orbits Earth.