The first full moon after the Summer Solstice is known as the Strawberry Moon.

In ancient times, each full moon of every month had a name, usually associated with astronomical events, harvests, or other seasonal connections, and not relating to the actual color of the moon. The first full moon following the Summer Solstice, and the last full moon prior to the Autumnal Equinox, are known as Strawberry Moon, signifying the start and end of the strawberry picking season.

The full moon of tonight, June 24, would therefore be a Strawberry Moon.