While it is not terribly difficult to grow a new fruit tree plant from seed, the chances of a seed-grown tree bearing fruit that is of the same quality as the parent plant is quite slim. The reason for this is that each seed has mixture of different pollen that make the final produce from the tree impossible to predict. To get a true fruit tree, you need to graft good wood onto same-species rootstock. Growing new fruit trees from seed to be used as rootstock is very common.
Collect the seeds of a fruit tree from a ripe fruit. Wash and dry the seeds and place them in a baggie along with a handful of damp peat moss. Seal the baggie.
Place the baggie of seeds in the fruit bin of a refrigerator and leave the seeds for a minimum of 60 days. Some seeds, such as peach seeds, should be stratified (stored cold) for 120 days.
Plant your seeds after all possibility of frost has passed in your location. Choose a sunny spot in your yard or garden which has well-drained soil. Dig a hole no more than 1 1/2 to 2 inches deep and place a seed in it. Cover with garden soil and then spread a 1-inch layer of sand on top of the seed to prevent the soil from crusting. Do not add fertilizer at this point.
Water well and keep the soil damp but not soggy. Be patient as it can take anywhere from four weeks to six months for your seeds to sprout, depending on the type of fruit tree you are growing.
Spread 1 to 2 tbsp. of a fertilizer with urea 3 inches away from the trunk of the seedling when the tree is 6 to 8 inches tall. Water well.