  This paper presents a Hamiltonian formulation of spinfoam-gravity, which
leads to a straight-forward canonical quantisation. To begin with, we derive a
continuum action adapted to the simplicial decomposition. The equations of
motion admit a Hamiltonian formulation, allowing us to perform the constraint
analysis. We do not find any secondary constraints, but only get restrictions
on the Lagrange multipliers enforcing the reality conditions. This comes as a
surprise. In the continuum theory, the reality conditions are preserved in
time, only if the torsionless condition (a secondary constraint) holds true.
Studying an additional conservation law for each spinfoam vertex, we discuss
the issue of torsion and argue that spinfoam gravity may indeed miss an
additional constraint. Next, we canonically quantise. Transition amplitudes
match the EPRL (Engle--Pereira--Rovelli--Livine) model, the only difference
being the additional torsional constraint affecting the vertex amplitude.
