  We extend the investigation of BPS saturated t'Hooft-Polyakov monopoles in
$\mathcal{M}^{2}\times S^{2}$ to the general case of $SU(N)$ gauge symmetry.
This geometry causes the resulting $N-1$ coupled non-linear ordinary
differential equations for the $N-1$ monopole profiles to become autonomous.
One can also define a flat limit in which the curvature of the background
metric is arbitrarily small but the simplifications brought in by the geometry
remain. We prove analytically that non-trivial solutions in which the profiles
are not proportional can be found. Moreover, we construct numerical solutions
for $N=2,3$ and 4. The presence of the parameter $N$ allows one to take a
smooth large $N$ limit which greatly simplifies the treatment of the infinite
number of profile function equations. We show that, in this limit, the system
of infinitely many coupled ordinary differential equations for the monopole
profiles reduces to a single two-dimensional non-linear partial differential
equation.
