  The covariant formulation of teleparallel gravity theories must include the
spin connection, which has 6 degrees of freedom. One can, however, always
choose a gauge such that the spin connection is put to zero. In principle this
gauge may affect counting of degrees of freedom in the Hamiltonian analysis. We
show for general teleparallel theories of gravity, that fixing the gauge such
that the spin connection vanishes in fact does not affect the counting of
degrees of freedom. This manifests in the fact that the momenta of the Lorentz
transformations which generate the spin connection are fully determined by the
momenta of the tetrads.
