The blast that took place just before midnight at Major Cineplex Theatre Ratchayothin destroyed three street-side public telephone booths but injured no one.
The theatre was one of the sites attacked by bomb explosions in Bangkok on the New Year's Eve, killing three people and wounding more than 40.
The taxi driver, Wirat Jansa, turned himself at about 9.20 am but denied that he is not involved in the attack.
He claimed that he tried to get customer at the spot but a police officer booked him for parking at the prohibited area. The officer ordered him to go to the police station to pay for the ticket. With the officer in his car, he was driving to the police station when he heard a boom behind him.
The officer then got off his taxi to investigate the scene, he said. Later his taxi centre radioed him to report himself with police. "I think that it is all about the booking but it turned to be that police wanted to question me about the bomb attack," he said.
Meanwhile Deputy Police Chief Lt Col Jongrak Jutanont who visited the site said that there was no no claims of responsibility for the explosions, which police believed was not meant to cause fatalities.
"It was meant to threaten and cause confusion," Jongrak said. He described the bomb as a "noisemaker" packed with gunpowder but no nails or other sharp objects.
He said police are investigating, but they have not yet been able to pinpoint a motive.
Prakit Prachonpatjanuk, secretary-general of the National Security Council, said that initial investigations indicated that the bombing might have been the result of a personal conflict and did not appear to be linked to Muslim insurgent violence in Thailand's deep south.