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Through using BCS theory and the semi-classical approach, the effect of external pressure on the superfluid density of s-wave isotropic superconductors were explored. The pressure parameters as the energy dispersion relation and the height of the density of state were applied. The analytical formula of superfluid density under pressure were derived and the numerical calculation results were compared to the experimental results of H3S and LaH10 superconductors. We discovered that the superfluid density under pressure of H3S and LaH10 superconductors fit our results closely. As the height of the density of state increased, so did the superfluid density.