Whispering-gallery modes (WGMs) in a zeolite cylinder have been effectively coupled with a low-loss fiber taper. The fiber transmission spectrum directly shows the WGM distribution, which agrees well with the theoretical prediction based on geometric optics. Due to other scattering and absorbing mechanisms, the measured quality factors of the WGMs are limited to approximately 800. This result shows that the fiber taper provides a powerful tool for coupling WGMs of a zeolite cylinder, and this taper-coupled zeolite can be a potential microcavity system for the cavity quantum electrodynamics and the microlaser.