A novel cowpea cultivar, designated 951135, is disclosed. The invention relates to the seeds of cowpea cultivar 951135, to the plants of cowpea 951135 and to methods for producing a cowpea plant produced by crossing the cultivar 951135 with itself or another cowpea variety. The invention further relates to hybrid cowpea seeds and plants produced by crossing the cultivar 951135 with another cowpea cultivar.