In many impulsive noise problems, it is useful to be able to predict the level-crossing statistics of highly resonant systems. Formal analytical expressions can be obtained, but they are difficult to evaluate numerically. In particular, difficulties are encountered in the so-called small γ cases, where γ (the impulse-noise-density parameter) is defined as the product of the noise impulse-occurrence rate and the system response time. In order to obtain numerical results a two-step solution is proposed by first reducing the complex system to a simpler equivalent system whose level-crossing statistics are the same, and then the level-crossing statistics of the equivalent system are evaluated separately. Empirical observations indicate that the level-crossing curves of multimodal systems are similar in shape to those of a single-degree-of-freedom (1DOF) system; thus a 1DOF system is a likely equivalent system. The equivalent 1DOF parameters are determined by a power-weight method (PWM) of dynamic characterization whereby the equivalent bandwidth and equivalent center frequency are determined as the weighted average of the modal bandwidths and center frequencies with the modal powers as the weights. The second step, evaluation of the level-crossing statistics of a 1DOF system, has been done previously [R. A. Janssen and R. F. Lambert, J. Acoust. Soc. Amer. 41, 827–835 (1967)]. [Work supported by grant from the National Science Foundation.]