Police said the first incident occurred on Saturday around 10:25 a.m. at Alias Grace Park, which is near Yonge Street and Canyon Hill Avenue.
A mother was at the park with her two young children when a male suspect approached them, pulled down his pants and exposed himself, police said.
On Sunday, officers received reports of a person with the same description exposing himself to people in the area of Valmont Avenue and Waterstone Street, police said.
Investigators have released images of a suspect and are asking anyone with information to come forward.
He is described as 20 to 30 years old, around five-foot-seven, 170 pounds with short black hair.
Police said he was wearing a white T-shirt, shorts, a black backpack and white shoes.