Turnpike properties for optimal relaxed control problems describe the limiting behavior of their optimal pairs as the time horizons tend to infinity. In this talk, three kinds of turnpike properties for optimal relaxed control problems are considered. Under some convexity and controllability assumptions, we obtain the uniform boundedness of the optimal pairs and the adjoint functions. On the basis, we prove the integral turnpike property, the mean square turnpike property and the exponential turnpike property, respectively.