  We present the second (and final) part of an analysis aimed at introducing
variables which are suitable for constructing a space of quantum states for the
Teleparallel Equivalent of General Relativity. In the first part of the
analysis we introduced a family of variables on the "position" sector of the
phase space. In this paper we distinguish differentiable variables in the
family. Then we define momenta conjugate to the distinguished variables and
express constraints of the theory in terms of the variables and the momenta.
Finally, we exclude variables which generate an obstacle for further steps of
the Dirac's procedure of canonical quantization of constrained systems we are
going to apply to the theory. As a result we obtain two collections of
variables on the phase space which will be used (in a subsequent paper) to
construct the desired space of quantum states.
