  The percolation behaviour during the deposit formation, when the spanning
cluster was formed in the substrate plane, was studied. Two competitive or
mixed models of surface layer formation were considered in (1+1)-dimensional
geometry. These models are based on the combination of ballistic deposition
(BD) and random deposition (RD) models or BD and Family deposition (FD) models.
Numerically we find, that for pure RD, FD or BD models the mean height of the
percolation deposit $\bar h$ grows with the substrate length $L$ according to
the generalized logarithmic law $\bar h\propto (\ln (L))^\gamma$, where
$\gamma=1.0$ (RD), $\gamma=0.88\pm 0.020$ (FD) and $\gamma=1.52\pm 0.020$ (BD).
For BD model, the scaling law between deposit density $p$ and its mean height
$\bar h$ at the point of percolation of type $p-p_\infty \propto \bar
h^{-1/\nu_h}$ are observed, where $\nu_h =1.74\pm0.02$ is a scaling
coefficient. For competitive models the crossover, %in $h$ versus $L$
corresponding to the RD or FD -like behaviour at small $L$ and the BD-like
behaviour at large $L$ are observed.
