  Analytical investigation of the properties of $s$-wave holographic
superconductors in the background of a massive gravity theory in the probe
limit has been carried out employing the Sturm-Liouville eigenvalue method . We
obtain the analytical expression for the relation between the critical
temperature and the charge density. We also obtain the expression for the
condensation operator and value of the critical exponent. Our findings show
that as we increase the massive gravity couplings the critical temperature
increases and the condensate decreases. More precisely we observe that the
presence of massive graviton increases the critical temperature compared to the
superconductors in Einstein gravity at some point if we keep on increasing the
coupling constants. We also obtain the frequency dependence of conductivity by
solving analytically the wave equation for electromagnetic perturbations. From
the real part of the conductivity, we finally estimate the energy band gap.
