  A regular Vaidya-type line-element is proposed in this work. The mass
function depends both on the temporal and the spatial coordinates. The
curvature invariants and the source stress tensor $T^{a}_{~b}$ are finite in
the whole space. The energy conditions for $T^{a}_{~b}$ are satisfied if
$k^{2}<2vr$, where $k$ is a positive constant and $v,r$ are coordinates. It is
found that the radial pressure has a maximum very close to $r = 2m~ (r>2m), v =
2m$. The energy crossing a sphere of constant radius is akin to
Lundgren-Schmekel-York quasilocal energy. The Newtonian acceleration of the
timelike geodesics has an extra term (compared to the result of Piesnack and
Kassner) which leads to rejecting effects.
