If it is a municipality bylaw, i.e. no parking on one side of the street, can the city police also ticket you, or just the bylaw enforcement officers?

Yes, generally speaking, if it is a municipal bylaw, such as no parking on one side of the street, it is not limited to “bylaw enforcement only.” Parking is just one example of a municipal bylaw. Municipal bylaws can cover all sorts of things, including parking, noise, property standards, licensing, animals, signs, fire routes, dumping, and other local rules. Depending on the province, the municipality, and the specific bylaw, police officers, parking enforcement officers, municipal law enforcement officers, bylaw enforcement officers, and other properly authorized people may, and usually do, have the authority to issue offence notices or tickets. In the case of parking, police can often issue the ticket, but that does not mean they are the ones usually focused on that work. Most routine parking enforcement is handled by parking enforcement or municipal law enforcement officers. Police tend to get involved when the parking issue creates a safety concern, blocks traffic, blocks emergency access, involves a fire route, accessibility space, complaint, or some other issue that brings it to their attention. It is also worth noting that in some municipalities, properly trained and authorized companies or individuals may issue parking-related notices on behalf of the municipality. That is not just someone deciding to write tickets. They have to be trained, qualified, appointed, or otherwise authorized under that city’s system, often through the municipality or the local police service. So the short answer is: yes, police may be able to ticket you for a municipal bylaw offence, but they are not the only ones. Parking enforcement, bylaw enforcement, municipal law enforcement officers, and in some cases authorized private enforcement personnel may also have that authority. It depends on the local rules, but it is definitely not automatically limited to “just the bylaw people.”