Police arrested Brand in September after he was caught on camera swatting at a photographer and hitting his camera. The incident happened while Brand and singer Katy Perry were swarmed by paparazzi.
He was facing a potential charge of misdemeanor simple battery.
Brand was relatively unknown in the United States until he hosted the MTV Video Music Awards in 2008.
The actor became even more famous because of his relationship with Perry. The couple got married last month in India.