  We fit the $\gamma$-ray excess from the galactic centre (GC) in terms of
parameters of the minimal supersymmetric standard model (MSSM). Consistency
with other $\gamma$-ray observation, such as those from dwarf spheroidal
galaxies, is also ensured, in addition to the constraints from direct dark
matter search. Furthermore, we expect the contribution to the relic density
from the MSSM dark mater candidate, namely, the lightest neutralino, should not
go below the stipulated value; otherwise it will amount to going beyond the
MSSM by including some additional dark matter source. After a detailed scan of
the parameter space in terms of four representative types of particle spectra,
we identify the ones that are best fit to the observed data. However, these two
are somewhat unsatisfactory in terms of $\chi^2_{min}$ as well as $p$-values.
In some case(s), the unacceptability of low-$\chi^2_{min}$ regions due to
direct search constraint is responsible for this. In others, the observed shape
of the $\gamma$-ray spectrum makes the fits unsatisfactory. The imposed lower
limit on relic density, too, has a role to play all along. On the whole, the
conclusion is that the MSSM is not a very satisfactory fit for the GC
$\gamma$-ray compounded with other cosmological observations and direct search
limits.
