Metal poor stars provide valuable information about nucleosynthesis of the early universe. Interestingly, three known hyper metal-poor stars showing extremely low iron abundance of [Fe/H] < −5 similarly have some peculiarity in their abundance patterns, i.e., they show enhancement of intermediate mass elements such as C, N, O, Na, and Mg. We calculate stellar evolution of massive Population III stars, and compare the stellar yields with the observed abundance patterns of hyper metal-poor stars. We show that the stellar yields depend on the initial parameters such as initial mass and initial rotation, and show that the resulted yields can explain the observations. We conclude that the peculiar abundance patterns of intermediate mass elements observed in hyper metal-poor stars will provide possible constraints on distributions of the initial mass and rotation of the Population III stars.