A novel soybean cultivar, designated 010005, is disclosed. The invention relates to the seeds of soybean cultivar 010005, to the plants of soybean 010005 and to methods for producing a soybean plant produced by crossing the cultivar 010005 with itself or another soybean variety. The invention further relates to hybrid soybean seeds and plants produced by crossing the cultivar 010005 with another soybean cultivar.