The aim of this article is to discuss the hydrostatic pressure, temperature and Al-concentration effects on the optical rectification(OR) of GaAs/Ga1−xAlxAs spherical quantum dots(QDs) under a potential model called inversely quadratic Hellmann(IQH) plus inversely quadratic Kratzer(IQK) potential. The solution of Schrödinger equation is adopting the formula method. Using the density matrix theory and iterative method, the analytical expression of the OR coefficient is deduced. The results show that these external factors and structural parameters, such as the radius of the QDs and the depth of potential can affect the dipole matrix elements, energy level interval and effective mass of electrons, so that these parameters will affect the variation trend of the OR coefficient.