Longitudinal and transverse wave velocities, six kinds of elastic parameters (Young, shear and bulk moduli, Lame parameter, Poisson's ratio and acoustic wave velocity anisotropy factor) and dilational and shear internal frictions of a fused quartz have been simultaneously measured over a temperature range 298-1674 K, by an ultrasome pulse sing-around method. These elastic moduli, Lame parameter and Poisson's ratio increase with increasing temperature, suggesting enhancement of rigidity for mixed mode II-mode III shear by crystallization on heating. The 840 and 1110 K peaks in dilational friction might be related to phase transition of alpha-quartz/beta-quartz and beta-quartz/beta2-tridymite. For shear friction, the 390 and 1360 K peaks would be attributed to beta1/beta2-tridymite and glass phase transitions. respectively.