  In our previous work, we have defined a nonlinear connection of Finsler
manifold which preserves the Finsler metric $L=L(x,dx)$. To make the method
easier and more useful in applications, moving frame (vielbein)
$\theta^a={e^a}_\mu dx^\mu$ formalism for the nonlinear connection is newly
considered. We derive formulae to calculate the Finsler connection in the
specific case that the Finsler metric depends not on coordinates $x^\mu$, but
only on moving frame $\theta^a$: $L=L(\theta)$.
