  We consider a quantum particle under the dynamical confinement caused by
PT-symmetric box with a moving wall. The latter is described in terms of the
time-dependent Schr\"{o}dinger equation obeying the time-dependent PT-symmetric
boundary conditions. The class of the functions, describing time-dependence of
the wall's position and keeping the system as PT-symmetric is found. Physically
observable characteristics, such as average kinetic energy and the average
quantum force are calculated as a function of time. Also, geometric phase is
calculated for the harmonically oscillating wall regime. Experimental
realization of the proposed model is discussed.
