A novel soybean variety, designated 5PSMT60 is provided. Also provided are the seeds of soybean variety 5PSMT60, cells from soybean variety 5PSMT60, plants of soybean 5PSMT60, and plant parts of soybean variety 5PSMT60. Methods provided include producing a soybean plant by crossing soybean variety 5PSMT60 with another soybean plant, methods for introgressing a transgenic trait, a mutant trait, and/or a native trait into soybean variety 5PSMT60, methods for producing other soybean varieties or plant parts derived from soybean variety 5PSMT60, and methods of characterizing soybean variety 5PSMT60. Soybean seed, cells, plants, germplasm, breeding lines, varieties, and plant parts produced by these methods and/or derived from soybean variety 5PSMT60 are further provided.