Const. Allyson Douglas-Cook said they were "dispatching quite a few units to close the area down", but that the sidewalks are still open.
"We didn't want to put players at risk, we didn't want to put fans or employees at risk", Miller said.
Police say they blocked off the area directly under the CN Tower and the stadium.
"It's hard to describe, it was really loud", Miller said.
It's the first time a game has been postponed at the domed stadium since a Jays-Royals contest was deferred April 12, 2001. The San Diego Padres, for instance, made a decision to take a light shot at other teams across the league, advertising on Twitter that their game would be "played as scheduled" with an image of the picturesque scene at their ballpark.
Ice damage has been observed on several buildings in the area.
And I guess the only way to fix the hole is by physically going up on the roof.
Various photos on Twitter have shown the hole and tarps in the outfield as water was leaking through the opening.More news: City wary of title collapse ahead of Spurs showdown — Big Match Focus
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Miller said pieces of ice crashed to the turf in right field along with some insulation from the roof.
The game will now be played on Tuesday afternoon, beginning at 3:07 p.m., as part of a traditional doubleheader.
Fans who purchased tickets to Monday's game directly from the Blue Jays will be allowed to exchange their tickets and pick one from a series of nine games - all on Mondays or Tuesdays. Tickets from Monday's game can also be exchanged for one of nine future games (including entry on Tuesday).
The Star also reported that the Rogers Centre, home of the Toronto Blue Jays, suffered a hole in the roof over right field and that snow is now on the field.
Security is now taping off areas and putting up barricades on the south side of the tower, she said.
The game, scheduled for 7 p.m. ET, could become the rare contest in a dome to be postponed because of weather.
The Toronto Blue Jays attempted to make a similar joke, only to have it fail spectacularly and backfire.
Tens of thousands of people across southern and central Ontario remained without power Monday morning as the province's massive ice storm transitioned to drenching rain.