The dipole and quadrupole polarizabilities (both static and dynamic) of negatively charged helium‐like ions are investigated. The mass dependence of the polarizability is studied by changing the mass of the positively charged particle from one unit of electron mass to infinitely heavy. The calculations are carried out in the framework of the pseudostate summation method using exponential correlated wave functions having pseudorandomly generated nonlinear variational parameters. The dipole and quadrupole polarizabilities in terms of frequency and nuclear mass are reported for the first time. The effect of screened Coulomb potentials on the polarizabilities of D–, T–, 1H–,Pi–, Mu–, and Ps– are also presented.