Sweep the concrete expansion joints with the broom. The expansion joints should be free of any debris. Prepare the concrete slab for painting according to the paint manufacturer's recommendations.
Place a tube of concrete joint sealant into the caulking gun. Cut open the tip of the sealant tube with the utility knife.
Squeeze the trigger on the caulking gun to release the sealant from the tube. Hold the tip of the sealant tube near the top of the expansion joint. Fill the entire length of the expansion joint with sealant. The expansion joint should be filled to the top. Allow the expansion joint sealant to dry according to the manufacturer's instructions.
Place the paintbrush into the concrete paint. Brush the concrete paint onto the top of the concrete joint sealer. Paint the entire length of the concrete joint. Repeat this for each of the expansion joints. Let the paint dry according to the manufacturer's instructions. Apply additional coats of paint if necessary.