We studied the pressure dependence of the Néel temperature and the superconducting critical temperature of the heavy-fermion superconductor UPd₂Al₃ at pressures up to 13.6 GPa by means of resistivity measurements. The pressure variation of the normal state resistivity is dominated by a large shift of the resistivity maximum to higher temperatures. The Néel temperature decreases with increasing pressure, while the onset of the superconducting state is almost invariant with pressure up to 6.5 GPa. At higher pressures a decrease of Tc has been observed.