  We consider presymplectic manifolds equipped with Hamiltonian G-actions, G
being a connected compact Lie group. A presymplectic manifold is foliated by
the integral submanifolds of the kernel of the presymplectic form. For a
presymplectic Hamiltonian G-manifold, Lin and Sjamaar propose a condition under
which they show that the moment map image has the same ``convex and polyhedral"
property as the moment map image of a symplectic Hamiltonian G-manifold, a
result proved independently by Atiyah, Guillemin-Sternberg, and Kirwan. In this
paper, under the condition Lin and Sjamaar proposed on presymplectic
Hamiltonian G-manifolds, we study the fundamental groups of such manifolds,
comparing with earlier results on the fundamental groups of symplectic
Hamiltonian G-manifolds. We observe that the results on the symplectic case are
special cases of the results on the presymplectic case.
