  The outstanding issue of a non-singular extension of the Kerr-NUT- (anti) de
Sitter solutions to Einstein's equations is solved completely. The Misner's
method of obtaining the extension for Taub-NUT spacetime is generalized in a
non-singular manner. The Killing vectors that define non-singular spaces of
non-null orbits are derived and applied. The global structure of spacetime is
discussed. The non-singular conformal geometry of the null infinities is
derived. The Killing horizons are present.
