A cotton cultivar, designated DP 108 RF, is disclosed. The invention relates to the seeds of cotton cultivar DP 108 RF, to the plants of cotton DP 108 RF and to methods for producing a cotton plant produced by crossing the cultivar DP 108 RF with itself or another cotton variety. The invention further relates to hybrid cotton seeds and plants produced by crossing the cultivar DP 108 RF with another cotton cultivar.