A saw band of steel for a band saw machine with a band back (Br) and with a tooth row arranged thereon having several teeth (20), wherein the initial tooth form (10) is triangular with a tooth base with tooth width (b) and with the tooth tip (1) with a first tooth height (h1), such that the tooth tip (1) does not project beyond tooth width (b) in the band running direction (L), wherein the lateral side of the triangle located in front in the running direction (L) forms the rake face (2) and the rear lateral side forms the clearance face (3) of the tooth (10, 20). The tooth tip (1) of the triangle is specifically removed for the development of a rounded-off tooth crest (4) with a reduced second tooth height (h2), wherein at least in the proximity of the tooth crest (4) a hard material coating covers at least partially the cutting face formed of the tooth crest (4), the rake face (2) and the clearance face (3).