Epiphytic orchids live on the branches of plants, usually trees, where they anchor themselves by their roots. Unlike terrestrial orchids, their roots aren't buried in the ground, but are exposed.
Epiphytes are "air plants" which absorb water and nutrients through their exposed air roots. Orchids are not parasitic plants; they do not get their nutrients from the trees they cling to and grow on.
Phalaenopsis and Dendrobiums (lady's alippers) are some of the more typical epiphytic orchids on the market today and are often used for decorating. They can be raised in an open bark medium or on a piece of bark.
Epiphytic orchid roots are thick and hardy. In addition to being strong enough to anchor the plant to a tree, they store water very well.
Living high off of the ground has its benefits, mainly fewer predators to graze on them.
Because they lack the nutrients of groundwater and soil, the orchids rely on rainfall for their water and nutrients. Their roots store water and get nutrients from debris and droppings washed onto the roots.