  We construct numerically static vortex solutions in a holographic model of
two-band superconductor with an interband Josephson coupling in both the
superfluid and superconductor regime. We investigate the effects of the
interband coupling on the order parameter of each superconducting band in the
vortex solution, and we find that it is different for each of the two bands. We
compute also the free energy, critical magnetic field, magnetic penetration
length and coherence lengths for the two bands, and we study their dependence
on the interband coupling and temperature. Interestingly, we find that the
coherence lengths of the two bands are close to identical.
