We presented the measurements of coherent $\pi^0$, $\rho^+$ and $\rho^0$ meson production in the NOMAD experiment. The excellent angular and momentum resolutions of the NOMAD detector — based upon a low density design with $\rho \sim 0.1$ g/cm$^3$ — combined with a nuclear target predominantly made of carbon, result in an efficient selection of coherent processes with small background levels. Coherent processes in neutrino interactions are characterized by the production of forward mesons with respect to the beam direction with very small momentum transfer to the nucleus. These interactions can serve as a test of the structure of the weak current, including PCAC and CVC, which are used to model the coherent processes.