Gaussian scatterer distribution model (GSDM) is one of the most interesting geometrically based scatterer distribution models for spatial and temporal properties of wireless channels in most multipath environments. The GSDM assumes a circular scattering region around a mobile station (MS), and the scatter density decreases with the distance from the MS. In this paper, the time of arrival (TOA), angle of departure (AOD), and joint TOA/AOD probability density functions (pdfs) of down link are derived for the GSDM. Based on these pdfs, the TOA and AOD pdfs of first arrival path are analyzed as they are particularly important to radiolocation technologies. A closed-form expression for the TOA pdf and an approximate expression for the AOD pdf of the first arrival path are obtained. To validate the closed-form expressions, comparisons to simulated normalized histograms obtained from Monte Carlo trials are included. The pdfs derived in this paper provide substantial insight into the statistical properties of wireless channels and first arrival path in multipath environments.