  We present a class of new nonsingular black holes in higher dimensional
theories of gravity. Assuming a specific form of the stress energy tensor exact
analytic solutions of the field equation are generated in general theory of
relativity (GR) and Rastall theory. The non-singular black hole solutions are
obtained with a finite pressure at the centre in $D=4$ dimensions. For $D>4$
the transverse pressure is found finite at the centre for a set of model
parameters. In the later case the transverse pressure is more than that in the
usual four dimensions. The exact analytic solution of the field equations in
higher dimensions for large $r$ coincides with the Schwarzschild black hole
solution in the usual four and in higher dimensions which is singularity free.
The different features of the generalized non-singular black hole in GR and
modified GR are explored. A new vacuum nonsingular black hole is found in
Rastall gravity. We also study the motion of massive and massless particles
around the black holes.
