"I don't think so at all," Capuano told CNN. "I mean, they were looking for somebody who was clearly in the area. I think that what happened was great. It brought the entire community together."
Authorities ordered Boston residents to remain in their homes during the Friday search for Tsarnaev, who evaded law enforcement after a shootout with police killed his brother Tamerlan Tsarnaev.
"But I have no problem with it at all," Capuano said. "I haven't heard anyone from the greater Boston area complain about it."
Jim Diffley, a vice president and chief economist at IHS Global Insight, estimated for Bloomberg Businessweek that the shutdown cost Boston $333 million in lost economic activity.
Capuano added that he was "pleasantly reassured" by the city's reaction in the aftermath of the terrorist attack.
"I know the people of Boston, and we do come together during times of difficulty," Capuano said. "We've done it before. Hopefully, we will never have to do it again. But if we have to, we will."
He also said he had "faith" that federal investigators had not missed any red flags that could have led them to prevent the Boston bombings. According to reports, U.S. authorities were warned by Russia that Tsarnaev's older brother, Tamerlan, could be a terrorist threat.
"Like every situation, I have faith that the FBI and other agencies have done their job. Can they improve their job going forward? Absolutely," Capuano said. "My hope is that there are a lot of lessons learned from this particular incident; that we'll be able to tighten up security around the country, you know, without really infringing on civil liberties anymore than we already have.
"I have faith that if the FBI did make a mistake here or if they didn't make a mistake, that the procedures just weren't tight enough, that I have faith that they'll review the matter and come up with lessons that they can then implement," he said.