A novel soybean cultivar, designated DP 5634 RR, is disclosed. The invention relates to the seeds of soybean cultivar DP 5634 RR, to the plants of soybean DP 5634 RR and to methods for producing a soybean plant produced by crossing the cultivar DP 5634 RR with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar DP 5634 RR with another soybean cultivar.