In this study, the power spectra of short-period P waves were obtained from a network of 17 stations in order to measure P-wave attenuation in the entire mantle. A Q-depth relationship was estimated from the use of a Southern Alaskan earthquake and a Novaya Zemlya nuclear explosion. For the determination of t* values from stations, the power spectra were obtained using the instantaneous maximum likelihood method for frequencies of 0.5, 1.0 and 1.5 Hz. Attempts to obtain a satisfactory Q model by inversion of the differential travel times and t* values were unsuccessful. An indirect approach was therefore used to obtain the Q-depth relationship. The resulting Q model was then compared with existing long-period Q models. This short-period Q model shows a high-Q zone near the middle of the mantle. These short-period Q values were higher than those Q values at longer periods. ¿ American Geophysical Union 1988