People aged over 65 as well as those with chronic ailments or at a high risk of infection will receive the vaccine in the first stage, and those aged over 50 in the second.
Health officials had feared the US Thanksgiving holiday in late November would lead to a fresh outbreak of the novel coronavirus after millions of Americans traveled to join friends and family.
The ministry opened registration for the vaccination campaign through an online application called "Sehaty", and said the vaccine would be "free for all citizens and residents".
Trudeau has previously said the country will receive 249,000 initial doses of the vaccine this month, the first 30,000 doses of which are expected to have arrived by Monday.
The US has the world's highest death toll of more than 299,000, and the largest number of cases, at 16.2 million -- including more than 1.5 million new cases in just the past week.
Britain on Wednesday gave emergency approval to the Pfizer-BioNTech coronavirus vaccine, with health officials set to use criteria based on age and vulnerability to decide the order of people to receive it.
As production of the two vaccines expands, 20 million will be reached in December, 30 million in January and 50 million in February, making 100 million total.
