Turn off the water supply to your house at the main shut-off valve, which is often found near the water meter. Move the refrigerator forward and inspect the connection between the water valve and the cold water pipe. A C-shaped clamp on the back of the pipe holds the connection in place. Tighten the screws, being careful not to crush the copper piping, and turn the water back on. A loose connection can cause water to drip behind the refrigerator.
Examine the supply pipe running from the shut-off valve to the back of the refrigerator and patch small cracks or splits with thread-seal tape. Bending the pipe around corners sometimes causes the pipe to rupture and leak water. If the damage is too great to patch up, you need to purchase a replacement line from General Electric.
Inspect the plumbing around the shut-off valve for signs of a leak. Water usually escapes at joins or connections; if this is the case, tighten the connection to stem the flow of water. Patch punctures or small holes in the middle of a pipe with thread-seal tape and epoxy and allow time to dry before turning the water back on. Water sometimes pools away from the source of the leak if it is able to travel along the underside of a pipe.
Consider repairing the hole with a sleeve patch if the leak is severe. Cut out the damaged section of pipe and clean up any sharp edges with sandpaper or emery paper. Bridge the gap with a section of wider pipe roughly 2 inches longer than the damaged section. Solder up the join before turning the water back on.