A device for connecting the turbine blades of a turbine having a plate-shaped member provided at the radially outer end of each turbine blade and extended substantially at a right angle to the longitudinal plane of the turbine blade. The plate-shaped member is projected from the leading and trailing edges of the turbine blade, and is provided with through bores formed in each projected portion. Connecting members having cylindrical pins or the like projections are disposed between two adjacent turbine blades in such a manner that the projections are rotatably received by respective through bores. Namely, one of the connecting members is connected to the plate-shaped member of the leading edge of the turbine blade while the other connecting member is connected to the plate-shaped member of the trailing edge of the preceding adjacent turbine blade. The connecting members are disposed such that they partially underlie the plate-shaped members of the adjacent turbine blades and that they make contact with each other during the running of the turbine thereby to restrict the untwisting of the turbine blades while attaining a vibration damping effect.