According to the Minneapolis Star-Tribune, Dayton and several other officials visited the mosque on Sunday, one day after someone threw a homemade explosive device through a window.
"What a terrible, dastardly, cowardly act was committed," Dayton said, calling it a hate crime.
"Anything I can do to put a stop to it, I would gladly do.”
The FBI said Saturday that an improvised explosive device was responsible for the blast at Bloomington’s Dar Al Farooq Community Center.
No one was injured, but a room belonging to a imam was reportedly damaged.
Worshippers had been preparing for the dawn prayer when the attack happened.
There were between 15 and 20 people inside the building at the time, according to Star Tribune, a local newspaper.
The executive director of the Islamic center said it might have been much worse, the Star-Tribune reported, saying that the imam running a few minutes late may have saved his life.
“Normally he would be in there and waiting for his prayer,” Omar told the Star-Tribune.
The mosque, like many others in the US, received threats of attack prior to the bombing.
For many, the response, or lack of it, revealed a double standard.
Some questioned why US President Donald Trump failed to respond to what they described as a "terrorist attack" targeting Muslims.
Mark Follman, an editor at the progressive-leaning Mother Jones magazine, said Trump's silence was due to the target of the attack.
"In normal times, the bombing of a house of worship with an IED would not go unacknowledged by the president of the United States," he continued, after posting a list of previous attacks committed by far-right attackers that Trump had also not responded to.
Marty Parrish asked: "Did I miss Trump's statement of concern for the victims of this bombing and members of the Mosque?" Adding: "Does he care?" [MORE]