We study the implications of asymmetric dark matter on neutron stars . we construct a ” mixed neutron star ” model composed of ordinary baryons and of asymmetric dark matter baryons . We derive the general relativistic structure equations for each specie , the equation for the mass within a given radius , and the redshift as function of radius . We present one specific numerical model as an illustrative example . In this example , the mass of the dark neutron equals half that of the ordinary neutron . The main results are : a total mass of 3.74 M _ { \odot } , a total mass within the neutron-sphere equaling 1.56 M _ { \odot } , the neutrons mass is 1.34 M _ { \odot } , the star radius is 31.9 km , the neutron-sphere radius is 11.1 km , and the redshifts from the neutron-sphere and from the star surface are 0.72 , 0.25 , respectively . We comment briefly on possible astrophysical implications .