Put on work gloves and eye protection. Chip out loose and crumbling mortar around the hole with a hammer and chisel.
Clean surface dust from the area with a shop vacuum or stiff-bristled brush.
Mix the mortar according to the manufacturer's directions. The mortar should be mixed to the point where it forms stiff peaks.
Wet the area with a few squirts of water from a spray bottle. Wetting the area helps the mortar better adhere to the brick.
Scoop out some mortar with a pointed trowel and press it into the hole with the side of the trowel. Avoid trying to pack in a lot of mortar all at once. Add a little mortar at a time, pushing it into the hole by pressing the flat end of the trowel smoothly across the surface. Add more mortar and repeat the process until the hole is thoroughly filled.
Scrape off excess mortar with the side of the trowel.
Smooth mortar with the end of the trowel or a brick jointer to achieve a neat and professional finish. The mortar should dry in two to three days.