  Pseudo-Newtonian gravitational potential describing the gravitational field
of static and spherically symmetric black holes in the universe with a
repulsive cosmological constant is introduced. In order to demonstrate the
accuracy of the pseudo-Newtonian approach, the related effective potential for
test-particle motion is constructed and compared with its general relativistic
counterpart given by the Schwarzschild-de Sitter geometry. The results indicate
that such an approach could be useful in applications of developed Newtonian
theories of accretion discs in astrophysically interesting situations in large
galactic structures for the Schwarzschild-de Sitter spacetimes with the
cosmological parameter y=(1/3)\Lambda M^2<10^{-6}.
