  We propose a set of consistent boundary conditions containing the spacelike
warped black holes solutions of Topologically Massive Gravity. We prove that
the corresponding asymptotic charges whose algebra consists in a Virasoro
algebra and a current algebra are finite, integrable and conserved. A similar
analysis is performed for the timelike warped AdS_3 spaces which contain a
family of regular solitons. The energy of the boundary Virasoro excitations is
positive while the current algebra leads to negative (for the spacelike warped
case) and positive (for the timelike warped case) energy boundary excitations.
We discuss the relationship with the Brown-Henneaux boundary conditions.
