Confidence votes 1.6K. Yes there are two main types of law in Canada. I believe you are talking about Public law and Private law. Below is a thorough (somewhat informal) breakdown of what I know of the Canadian law system (learnt this from grade 11 law).CANADIAN LAW could be broken into two categories.1. Procedural Law (Rules).enerally the types of laws are considered to be: Criminal & civil law; public & private law; Contract law; Tort la … w; property law; domestic & international law; Customary law. Choose two of the above and there is the answer to your question.