In this article, the Gaussian curvature of the event horizon of a Kerr-NUT black hole is given. The effect of NUT parameter on the equatorial circumference and the polar circumference of the event horizon is analysed. The problem of embedding the surface in Euclidean 3-space is examined. It is shown that the event horizon of a Kerr-NUT black hole has the geometrical properties which other black holes do not porsess.