Generally, having a criminal conviction to your name gives the Canadian government grounds to categorize you as inadmissible to the country. One of the requirements you need to meet in order to travel to Canada, particularly to immigrate, is that you need to present a clear police clearance. If you have been convicted of DUI, most commonly known, you will not be able to meet this requirement.However, you do have a few options if you've committed, or been convicted of a crime.