The hydrostatic and the uniaxial pressure, and the temperature dependence of elastic properties of a series of lanthanum gallogermanate glasses were determined by ultrasonic pulse-echo techniques. The experimental results are used to obtain the complete set of second- and third-order elastic constants of these glasses. The normal behavior of negative temperature dependence and positive pressure dependence of the ultrasonic velocities were observed in these glasses. The pressure derivative of shear and bulk moduli, and the longitudinal and shear acoustic mode Gruneisen parameters are all positive for these glasses. (C) 2002 Elsevier Science Ltd. All rights reserved.