Cancer is the most threatening disease induces death. The main aim of hyperthermia is to raise the temperature inside biological tissue. Therefore, it is very important to know the temperature distribution inside the tissue. In this paper, a new numerical method is proposed for the numerical solution of space-time fractional bioheat equation for describing the heat transfer in biological tissues during hyperthermia treatment with external electromagnetic (EM) heating. The numerical solution of the space-time fractional bioheat model is obtained by using the collocation method and finite difference method (FDM) with a proper choice of collocation points. The Chebyshev polynomials are utilized as a basis function. The fractional derivative is used in the form of the Caputo sense. The present problem is transformed into a system of algebraic equations by using the Chebyshev collocation method and FDM. The proposed method is characterized by its simplicity and efficiency. The numerical results are interpreted in both of the cases, i.e., standard case and anomalous cases for different fractional order derivatives in time and space. The numerical results are given graphically in both standard and anomalous cases for different values of parameters. All computational results are obtained by the present method in dimensionless form.