The invention relates to the novel canola variety designated SW 013062. Provided by the invention are the seeds, plants, plant parts and derivatives of the canola variety SW 013062. Also provided by the invention are tissue cultures of the canola variety SW 013062 and the plants regenerated therefrom. Still further provided by the invention are methods for producing canola plants by crossing the canola variety SW 013062 with itself or another canola variety and plants produced by such methods.