In the present work, we have studied the effects of hydrostatic pressure and applied magnetic field on the threshold frequency of absorption (TFA) in a quantum pseudodot. For this purpose, we have analytically solved the Schrodinger equation and obtained the energy levels and wave functions. Then, using ground state energy, we have calculated the TFA for different range of pressures and various applied magnetic fields. According to the results obtained from the present work, we have found that: (i) TFA decreases by increasing pressure, (ii) TFA is linear at small pressures (P a parts per thousand currency sign15 kbar), (iii) TFA increases with increasing the applied magnetic field, and (iv) TFA is nonlinear at small magnetic field. It is deduced that both the magnetic and pressure play the important roles in TFA of a quantum pseudodot.