  When the right and the left handed Weyl points are separated in energy, they
give rise to a non-dissipative charge current along the direction of a uniform
applied magnetic field, even in the absence of an external electric field. This
effect is known as the chiral magnetic effect and is a hallmark of the
underlying chiral anomaly of the Weyl fermions. According to the linearized
continuum theory of Weyl fermions, the induced current is proportional to the
magnetic field strength and the energy separation with a universal coefficient
$e^2/h^2$. By considering a generic tight binding model for the cubic
noncentrosymmetric metals, we show that such a system naturally supports a set
of Weyl points, which are separated in energies. We also show the existence of
the chiral magnetic effect for generic band parameters, and recover the
universal result of the continuum Weyl fermions for a restricted parameter
regime. Therefore, cubic noncentrosymmetric metals can serve as suitable
platforms for realizing Weyl fermions and the exotic chiral elctrodynamic
phenomena, which have promising technological applications.
