In this paper, we prove that every orthogonally higher ring derivation is a higher ring derivation. Also we find the general solution of the pexider orthogonally higher ring derivations {fn(x + y) = gn(x) + hn(y), = 0, {fn(xy) =∑, i+j=n gi (x)hj (y). Then we prove that for any approximate pexider orthogonally higher ring derivation under some control functions φ, (x, y) and ψ, (x, y), there exists a unique higher ring derivation D = {dn}∞,n=0, near {fn}∞,n=0, {gn}∞,n=0 and {hn}∞,n=0 estimated by φ,and ψ, .