Clean the loose asphalt, small rocks, weeds and other debris out of the crack with the tip of a screwdriver. Use a broom to sweep the debris away from the crack.
Fill the crack to slightly above the surface of the driveway with asphalt crack filler in a caulking gun. This asphalt filler seals small cracks so water can't seep in.
Use a putty knife to scrape the excess filler away and to smooth it flush with the driveway surface.
Clean the loose asphalt and other debris out of the crack with the tip of a screwdriver. Be sure to pull any weeds or remove any small rocks. Remove any pieces of chipping asphalt from the edges of the crack. Use a broom to sweep the debris away from the crack.
Use a putty knife to spread asphalt emulsion into the crack, coating the sides as completely as possible. Asphalt emulsion is a pliable oil-based tar that helps asphalt patching material adhere to the existing driveway.
Pour asphalt cold-patch into the crack to approximately 1/2 inch above the driveway surface. Cold-patch is a loose mixture of the same oil-based asphalt material that was used to build the original driveway.
Use a flat tamper to compact the cold-patch material into the crack until it is flush with the surface of the driveway. Sweep away the excess cold-patch that spreads past the edges of the crack. Do not drive over the crack for 24 hours, to allow the patch material to cure.