  We present a model of supersymmetric non-Abelian Chern-Simons theories in
three-dimensions with arbitrarily many supersymmetries, called
alephnull-extended supersymmetry. The number of supersymmetry N equals the
dimensionality of any non-Abelian gauge group G as N = dim G. Due to the
supersymmetry parameter in the adjoint representation of a local gauge group G,
supersymmetry has to be local. The minimal coupling constant is to be
quantized, when the homotopy mapping is nontrivial: \pi_3(G) = Z. Our results
indicate that there is still a lot of freedom to be explored for Chern-Simons
type theories in three dimensions, possibly related to M-theory.
