dc magnetization and P 31 spin-lattice relaxation rate in the polycrystalline sample of LaCoPO suggest a spin-fluctuation dominated ferromagnetically ordered state. Moreover, NMR data clearly indicate a crossover from two-dimensional to three-dimensional spin fluctuations across TC. In contrast to isotropic hyperfine field, Hhf at the P 31 site in LaFePO, Hhf is anisotropic in LaCoPO. The data of spin-lattice relaxation rate also exhibit anisotropic spin fluctuation. The anisotropy vanishes near TC. {\textcopyright} 2009 The American Physical Society.