About 1,000 of the lost jobs will be in Montreal, where Bombardier has its main operations, while 480 are in Toronto and 280 in Belfast.
Bombardier said it is reducing production of its Global 5000 and Global 6000 aircraft, the largest of its business jets.
The cuts will begin in June and continue until the first quarter of 2016.
A spokeswoman for Bombardier in Belfast said the "unfortunate" job losses were in line with customer demand for its products. She said most of the jobs impacted would be temporary posts and agency workers.
"Up to 280 of our workforce will be impacted, but we plan to mitigate this number through a range of measures, including transfers to other programmes and projects," she added.
"The majority of those affected will be members of our complementary labour force and other temporary and agency staff who work alongside our employees.
"A small number of Bombardier employees will also be affected, but we will look at all opportunities to avoid the need for compulsory redundancies within our permanent workforce.
"We deeply regret the impact this will have on all those affected and their families.
"Bombardier remains committed to the Global 5000 and Global 6000 products, and its long-term outlook for the business aircraft market, as well as the industry's, remains strong."