The vibration of a thin cylindrical duct, due to an internal random pressure field caused by airflow, was studied both experimentally and theoretically. The Reynolds number for the experiments was near 105and the Mach number was less than 0.1, typical of large air handling applications. Although a muffler was used to simulate acoustically a much longer duct, the acoustic pressure was found to be a significant cause of duct vibration. A simple model (white noise) of the pressure field was convolved with the dynamic Green's function of the duct to compute numerically the radial displacement cross covariances. In spite of this simplification, the measured displacement covariances were in good agreement with those calculated. The displacement spectral density was predicted to vary as ω−3with white‐noise excitation. The observed dependence was ω−4.8and was accounted for by the fact that the forcing function was not white noise, but had a frequency dependence near ω−2.