A turbine blade for a turbine engine includes main coolant passageways which extend through the turbine blade to cool the blade. A tip coolant passageway conveys coolant from a location adjacent the base of the blade directly to the tip of the blade to provide cooling fluid directly to the tip of the blade. This ensures that the coolant arriving at the tip of the blade is at a relatively low temperature and can therefore provide effective cooling of the material located at the tip of the blade.