The temperature dependence of the in-plane magnetic penetration depth, $lambda_{ab}(T)$, has been measured in a c-axis oriented polycrystalline CaC$_{6}$ bulk sample using a high-resolution mutual inductance technique. A clear exponential behavior of $lambda_{ab}(T)$ has been observed at low temperatures, strongly suggesting isotropic s-wave pairing. Data fit using the standard BCS theory yields $lambda_{ab}(0)=(720pm 80)$ Angstroem and $Delta(0)=(1.79pm 0.08)$ meV. The ratio $2Delta(0)/k_{_B}T_{c}=(3.6pm 0.2)$ gives indication for a conventional weakly coupled superconductor.