A linear motion brake (10) includes a channel shaped shoe guide (90) straddling a linear race (20) and having shoe bores (95) defined in leg plates (92) for receiving brake shoes (12). A piston (100) is reciprocally received in a piston cavity (86) of a plate-shaped housing (80) secured to the shoe guide (90). The piston (100) includes first and second protrusions (76, 134) extending from the piston head (102) in the reciprocation direction. Springs (114) are sandwiched between the shoe guide (90) and the piston (100). Ribs (116) of the piston (100) are slideably received in cutouts (96) formed in the connecting plate (94) of the shoe guide (92). Reciprocation of the protrusions (76, 134) cams the brake shoes (12) against the linear race (20).