Abstract: Focusing on rapid prediction of acoustic field uncertainty in environment with temporal and spatial sound speed perturbation, evolvement of sound speed structure over time is predicted based on the ocean-acoustic coupled model to obtain the uncertainty distribution, and a method based on non-instructive polynomail chaos expansion combined with empirical orthogonal function is proposed to reduce the dimensionality of uncertain parameters and to obtain the probability density function of acoustic field. Simulations prove that this method reduces the calculation guantity by 2 order of magnitude compared with regular polynomail chaos expansion with same precision. In addtion, the calculation guantity doesn't rise with the complexity of the sound speed structure. Experimental data shows acoustic fields and uncertainty estimation can be predicted with uncertain environmental parameters.