To start to grow a coconut plant, begin with a fresh coconut that still has the husk on it. When you shake it, it still should sound like it has water in it. Soak it in water for two to three days. After the coconut has soaked, place it in a container filled with well-draining potting soil. It is best to mix in a little sand or vermiculite to make sure the soil you will be growing coconut trees in drains well. The container needs to be around 12 inches deep to allow for the roots to grow properly. Plant the coconut point side down and leave one-third of the coconut above the soil.