Abstract
The author derives an analytical solution of tsunamis which are obliquely incident on a offward-finite constant slope. The incident waveforms are assumed to be transient. Based on the solutions obtained, characteristics of transient tsunami propagations on the slope are discussed in terms of the several conditions of incidence such as horizontal incident wave scale, incident angle and incident waveform. When tsunamis are incident almost parallel to the shoreline, multiple reflected waves reveal and are trapped on the slope. The solution indicates that the interference between multiple reflected waves and incoming incident waves could be a contributing cause of conspicuous amplification of tsunamis on the slope.