Purchase wood putty in a color that matches your hardwood floor. If necessary, take a picture of the floor and take it with you to the home improvement store. If you can't find the exact color, two colors can be mixed together to get a closer match.
Clean any dirt and debris from the gouged areas with a broom or vacuum cleaner.
Apply the filler to the pock marks with a putty knife, overfilling the damaged areas. Wood putty shrinks as it dries, so overfilling will help to completely fill the gouges.
Sand off the excess wood putty once it dries so that the repair area is level with the floor.
Apply a wood restorer to the repaired areas as directed by the manufacturer.