  Following the approach of Budzy\'nski and Kondracki, we define covariant
differential algebras and connections on locally trivial quantum principal
fibre bundles. We also consider covariant derivatives, connection forms and
curvatures and explore the relations between these notions. As an example, a
U(1) quantum principal bundle over a glued quantum sphere and a connection in
this bundle is constructed. This connection may be interpreted as a q-deformed
Dirac monopole.
