A terminal computer display assembly, which fixes a monitor onto a rotary supporting base provided. The support has a set of rails with a plurality of positioning units longitudinally aligned, and an inclined angular-positioning unit to limit the backward inclination of the support within a particular range of angles. The monitor is fixed onto a sliding block which is attached to the set of rails, allowing the monitor to move up or down freely for in a suitable highly location. A buffering unit is installed between the sliding block and the base, and it can prevent the monitor from falling instantaneously while positioning the height. The base is furthermore built with a circuit board inside for act as in interface for connecting to other accessories.