A generalized three-dimensional (3-D) geometric model is proposed with the 3-D scattering hollow-hemispheroid at the mobile station (MS) considering macrocellular mobile systems such as crowded square and large shopping malls. Closed-form expressions for joint and marginal probability density functions (PDFs) of the angle of arrival (AOA) seen at the MS and base station (BS) in the azimuth plane and elevation plane are derived respectively. Moreover, closed-form expressions for propagation path delays and trivariate joint PDFs of the time of arrival (TOA) seen at the MS are investigated. The observed theoretical results are compared with some presented 2-D and 3-D scattering models to validate the generalization of the proposed model. The proposed theoretical results provide effective support and development for a practical 3-D scattering environment.