  We consider the process of magnetogenesis in the context of nonsingular
bounce cosmology. We show that large primordial magnetic fields can be
generated during contraction without encountering strong coupling and
backreaction issues. The fields may seed large-scale magnetic fields with
observationally interesting strengths. This result leads to a theoretical
constraint on the relation of the energy scale of the bounce cosmology to the
number of effective e-folding of the contracting phase in the case of scale
invariance for the power spectrum of primordial magnetic fields. We show that
this constraint can be satisfied in a sizable region of the parameter space for
the nonsingular bounce cosmology.
