The first happened Friday evening in the 600-block of Confederation Drive.
A woman said she was in a parking lot when a man approached her and then tried to talk to here, according to police.
She said he then became upset, pulled out a firearm, and shot her.
The 28-year-old woman was taken to hospital by paramedics.
Police said the suspect is six-foot-three with two gold front teeth and has either green or blue eyes. He had on a hoodie, pants, and a hat, all grey in colour.
The second shooting took place early Sunday morning.
Officers were called to 20th Street West and Avenue R South for a report of an injured man.
He said he had been walking in the area when he was shot by two men dressed in black, police said.
The 23-year-old man then ran to St. Paul’s Hospital where he was located by officers.
Investigators are asking anyone with information on either shooting to contact Saskatoon police at 306-975-8300 or Crime Stoppers at 1-800-222-8477.