Peacock, a gold medallist in London and Rio, shared the bronze medal with Germany's Johannes Floors after a photo finish judged them to have both clocked 10.786 seconds.
They had to wait more than three minutes for a decision to be made.
"I didn't think you could share medals in sprints," said Peacock, 28.
"I think there's two ways to take it and being positive, 15-year-old Jonnie would have been so happy with this.
"If that's not an advert for Paralympic sport in 11 seconds I don't know what is.
"I expect it to keep going that way. I think the world record is going to be broken very, very soon."
Germany's Felix Streng won gold in a time of 10.76, while Sherman Isidro Guity Guity took silver - Costa Rica's first Paralympic medal - in a 10.78 personal best.
Peacock's time in Tokyo was quicker than his gold medal-winning runs in both London (10.90) and Rio (10.81).