  The deformations of multi-$\la$ hypernuclei corresponding to even-even core
nuclei ranging from $^8$Be to $^{40}$Ca with 2, 4, 6, and 8 hyperons are
studied in the framework of the deformed Skyrme-Hartree-Fock approach. It is
found that the deformations are reduced when adding 2 or 8 $\la$ hyperons, but
enhanced when adding 4 or 6 $\la$ hyperons. These differences are attributed to
the fact that $\la$ hyperons are filled gradually into the three deformed $p$
orbits, of which the [110]1/2$^-$ orbit is prolately deformed and the
degenerate [101]1/2$^-$ and [101]3/2$^-$ orbits are oblately deformed.
