Turn on your hose to find the leaky area, then mark the edges of it with an indelible marker.
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Using a box cutter or sharp blade, cut out the damaged section of hose. Purchase a hose repair kit that contains a repair fitting and clamps. Make sure the repair fitting fits the diameter of your hose.
Slip a clamp onto each section of hose. Then insert the hose repair fitting into one section of the hose. Slide the second hose section onto the other side of the fitting and snuggle the two sections back together as tightly as possible.
Screw the clamp down firmly on each side of the repair fitting. Turn the hose back on to make sure there are no more leaks, and boom! You're done.