Turbine blade with actively cooled head platform

In an air-cooled turbine blade (10), which at the blade tip transversely to the blade longitudinal axis extending shroud element (11), wherein the shroud element (11) for cooling of a plurality of cooling holes (17) is traversed, which on the input side with at least one through the An improved and secure cooling is achieved in that the cooling holes (17) in the shroud element (11) at least run approximately parallel to the direction of movement of the blade tip from the inside to the outside and open in front of the outer edge (25) of the shroud element (11) in a surface recess open to the outside space.Preferably, the shroud upper side (22) is equipped with at least two parallel ribs (12) and (13) which, in cooperation with the opposite housing wall, form a cavity (21) into which the cooling air emerging from the cooling bores (17) flows.