The aquarium's rescue staff responded to the remote scene Thursday morning and transported the small whale to its Vancouver facility.
Veterinarian Martin Haulena says the male calf is between 4 and 6 weeks old. Aquarium staffers are keeping it in a sling in the water.
Haulena says it is in very poor shape, with several lacerations and wounds along its body, likely from stranding.
The young whale is too weak to swim on its own. Members of the aquarium's rescue team first held it in their arms in a pool then transferred it to a specially designed floating sling that supports its weight.
It is being fed formula every two hours and treated with antibiotics and steroids.
False killer whales are a species of dolphins. Globally widespread, but locally uncommon, false killer whales are an open ocean species found in the tropics in all oceans of the world, and are only occasionally spotted in B.C. waters.