We apply the generalised Komar method proposed in [arxiv:2208.05494] to
Taub-NUT-AdS spacetime in the theory of Einstein gravity plus a cosmological
constant. Based on a generalised closed 2-form, we derive the total mass and
NUT charge of the Taub-NUT-AdS spacetime. Together with other thermodynamic
quantities calculated through standard method, we conform the first law and
Smarr relation. Then, we consider charged AdS NUTy spacetimes in
Einstein-Maxwell theory with a cosmological constant, and show that the
generalised Komar method works, too. We obtain all the thermodynamic
quantities, and the first law and Smarr relation are checked to be satisfied
automatically.Comment: 14 pages, no figur