We extend our previous analysis and consider the interacting holographic Ricci dark energy ( IRDE ) model in non-flat universe . We study astrophysical constraints on this model using the recent observations including the type Ia supernovae ( SNIa ) , the baryon acoustic oscillation ( BAO ) , the cosmic microwave background ( CMB ) anisotropy , and the Hubble parameter . It is shown that the allowed parameter range for the fractional energy density of the curvature is -0.005 \lesssim \Omega _ { k 0 } \lesssim 0.015 in the presence of the interactions between dark energy and matter . Without the interaction , the flat universe is observationally disfavored in this model .