Sgt. Adam MacIntosh says in a news release that the unidentified woman apparently fell from the 26th floor of a highrise in the city's north end at about 1 a.m.
He says police were called to the building over a possible domestic dispute and found the woman on the ground, outside the building.
MacIntosh says a 23-year-old man is currently in custody but no charges have been laid in the incident.
Surrey recorded two dozen homicides in 2013, breaking a record and forcing the mayor to launch a task force to solve the problem.
On Tuesday, 53-year-old hockey mom Julie Paskall died from injuries she sustained during a Sunday night attack outside a hockey arena, and police suspect she was the victim of a random robbery.