To provide an SmFeN-based bonded magnet, having small surface roughness and improving magnetization and irreversible demagnetizing factor.

The composite bonded magnet, having a main component composition expressed by RαT100-(α+β+γ+δ)MβBγNδ in atom.% (R is at least one kind of rare earth element, containing Y and necessarily contains Sm; T is Fe or Fe and Co; M is at least one kind among Al, Ti, V, Cr, Mn, Cu, Ga, Zr, Nb, Mo, Hf, Ta and W; and 5≤α≤18, 0≤β≤10, 0≤γ≤4 and 4≤δ≤30) comprises R-T-N based anisotropic fine powder, whose average particle diameter d1 is 1 μm<d1≤10 μm and R-T-N based isotropic fine powder, whose average particle diameter d2 is 1-10 μm, and a binder binding the two kinds of magnetic powder.