  We perform a canonical analysis of the bimetric theory in the metric
formulation, computing the constraints and their algebra explicitly. In
particular, we compute a secondary constraint, that has been argued to exist
earlier, and show that it has the correct form to eliminate the ghost. We also
identify a set of four first class constraints that generate the algebra of
general covariance. The covariance algebra naturally determines a spacetime
metric for the theory. However, in bimetric theory, this metric is not unique
but depends on how the first class constraints are identified.
