Trudeau made the announcement Friday in Vaughan, Ontario, at an event celebrating Italian heritage month.
He says during the war, Italian Canadian families and businesses struggled and no one was held responsible.
Italian Campaign of World War II
The Italian Campaign of World War II consisted of Allied operations in and around Italy, from 1943 to 1945. The Joint Allied Forces Headquarters was operationally responsible for all Allied land forces in the Mediterranean theatre and it planned and led the invasion of Sicily in July 1943.
It was followed in September by the invasion of the Italian mainland and the campaign in Italy until the surrender of the German Armed Forces in Italy in May 1945.
In the West, no other campaign cost more than Italy in terms of lives lost and wounds suffered by infantry forces of both sides, during bitter small-scale fighting around strongpoints at the Winter Line, the Anzio beachhead and the Gothic Line.
The campaign ended when Army Group C surrendered unconditionally to the Allies on May 2, 1945, one week before the formal German Instrument of Surrender.
Trudeau says a formal apology would offer closure to the community.
He also announced that the federal government would be opening a permanent trade centre in Milan, Italy.
Trudeau did not provide further details, but he says the centre will ensure that the “future is bright” between Canada and Italy.