Pull the drawer out of the dresser, lift upward from the front at a slight angle and remove it.
Grip the track on the left and the right side of the drawer, wiggling slightly to determine whether the tracks are loose. Check the tracks on the left and right sides in the dresser as well.
Tighten the screws in all tracks with a screwdriver to secure the tracks, and then reinsert the drawer in the furniture to test it. If the drawer still falls off the tracks, continue troubleshooting.
Remove the drawer to check inside the dresser for bent or damaged tracks. Bend the track back into alignment with pliers, and apply a short burst of spray lubricant to the tracks to smooth out the slide movement. If the problem persists, continue troubleshooting.
Pull out the drawer so you can unscrew and remove the track on each side. Unscrew the tracks inside the dresser as well. Take the parts with you to a hardware or home improvement store to match up with an identical replacement.
Fasten the new tracks to the drawer and inside the furniture, using the old screws or new hardware if it is supplied with your new tracks. Use the arrows embossed on the tracks as a guide to installation. The arrows must be pointed upward to orient the track in the proper direction.