Pruning a young peach tree is an important task, as it will form the structure of the tree and train it to grow in a manner that makes harvesting the fruit easier. New growth will start 6 to 8 inches below the cuts you make, according to master gardeners at the University of Nevada Cooperative Extension, so it is important to prune carefully. Bypass pruners are ideal for shoots 3/4 inch in diameter, use lopping shears to cut the trunk. Disinfect your pruning equipment before making any cuts.
Measure the trunk height. Note the point that's 20 inches above the soil. Remove all shoots growing in those bottom 20 inches of the trunk. Remove the shoots growing in this area in May and again in July. Remove buds by rubbing your thumb over them.
Cut the shoots at the top of the tree in half in early June. Cut them just above an outward facing bud.
Look for branches that form angles with the trunk. If the angle is less than 45 degrees, remove the branch or shoot by cutting it back to within 1 inch of the trunk.