  Stimulated by the recent researches of black hole thermodynamics for black
hole with Newman-Unti-Tamburino (NUT) parameter, we investigate the
thermodynamics and weak cosmic censorship conjecture for a Kerr-Newman Taub-NUT
black hole. By defining the electric charge as a Komar integral over the event
horizon, we construct a consistent first law of black hole thermodynamics for a
Kerr-Newman Taub-NUT black hole through Euclidean action. Having the first law
of black hole thermodynamics, we investigate the weak cosmic censorship
conjecture for the black hole with a charged test particle and a complex scalar
field. We find that an extremal black hole cannot be destroyed by a charged
test particle and a complex scalar field. For a near-extremal black hole with
small NUT parameter, it can be destroyed by a charged test particle but cannot
be destroyed by a complex scalar field.
