Leon Rodrigues was being held on $6,350 bail. He was charged with two counts of refusing an order to stop and reckless driving.
The Honolulu Star-Advertiser reported Friday the 39-year-old was also charged with five contempt of court charges.
Honolulu police were looking for Rodrigues to serve him with warrants for alleged driving violations when Rodrigues saw them and sped off in his silver truck.
Rodrigues turned on to Kailuana Place, where the Secret Service has set up checkpoints to protect Obama, during the police chase.
Rodrigues was arrested Thursday after being cornered.