  We apply Monte Carlo Renormalization group to the crumpling transition in
random surface models of fixed connectivity. This transition is notoriously
difficult to treat numerically. We employ here a Fourier accelerated Langevin
algorithm in conjunction with a novel blocking procedure in momentum space
which has proven extremely successful in $\lambda\phi^4$. We perform two
successive renormalizations in lattices with up to $64^2$ sites. We obtain a
result for the critical exponent $\nu$ in general agreement with previous
estimates and similar error bars, but with much less computational effort. We
also measure with great accuracy $\eta$. As a by-product we are able to
determine the fractal dimension $d_H$ of random surfaces at the crumpling
transition.
