But police said they were still investigating whether the man was actually connected to the doomsday cult.
Japan's NHK World said he was driving a rental van registered in Osaka, the western city where two other executions were carried out last month over a 1988 robbery and murder case.
The crash occurred on Takeshita Street, a popular street for tourists and trendy young Japanese people in the fashionable Harajuku neighbourhood. NHK World said the street, which had been closed to traffic, was packed with people paying a New Year's visit to the Meiji Shrine, which is supposed to bring good luck.
It showed footage of a small van with a completely smashed front.
Police said one teenage boy had been taken to the hospital after the attack, where he is undergoing an operation.
The man was also carrying kerosene in his car, police said. Media reports added that he had initially planned to spread the kerosene around to start a fire, but had been unable to do so because of security restrictions.
After the crash, the man fled the scene but was later arrested, police said.
Shoko Asahara, the leader of the Aum Shinrikyo, was the first of 13 cult members to be hanged in July for the subway attack that killed 13 people and poisoned more than 6000 others.
The two executions in Osaka brought the total for the year to 15, the highest total since 2008. Japan and the United States are the only two major developed countries that still employ the death penalty, and public opinion here is generally supportive of its use.
Another 109 other people remain on death row.