This article deals with the dynamic response of simply supported, symmetric cross-ply laminates to stationary random load. The theory of laminated plates used here takes into account transverse shear flexibility, transverse normal stress, and rotary inertia effects for orthotropic and transversely isotropic laminates. Two cases of random pressure fields are considered in this analysis. In the first case, the random pressure field is modeled as a point load, random in time, with constant spectral density (ideal white noise), while in the second case, it is modeled as a turbulent boundary layer pressure fluctuation. The analysis presented herein, as well as the obtained response characteristics expressed in terms of mean squares, may be useful in the reliability computation of composite structures subjected to random pressure fields.