A cotton inbred variety, designated P02X.5065, the plants and seeds of the cotton variety P02X.5065, methods for producing a cotton plant, either varietal or hybrid, produced by crossing the cotton variety P02X.5065 with itself or with another cotton plant, and hybrid cotton seeds and plants produced by crossing the variety P02X.5065 with another cotton variety or plant and to methods for producing a cotton plant containing in its genetic material one or more transgenes and to the transgenic cotton plants produced by that method. This invention also relates to cotton varieties derived from cotton variety P02X.5065, to methods for producing other cotton varieties derived from cotton variety P02X.5065 and to the varieties derived by the use of those methods.