In this paper, following [W. A. Kirk, P. S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003), 79--89], we give a fixed point result for cyclic weak $(\psi,C)$-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak $(\psi,C)$-contractions is also given.