Let K be a number field over Q and let aK(m) denote the number of integral ideals of K of norm equal to m∈N. In this paper we obtain asymptotic formulae for sums of the form ∑m≤XaKl(m) thereby generalizing the previous works on the problem. Previously such asymptotics were known only in the case when K is Galois or when K was a non normal cubic extension and l=2,3. The present work subsumes both these cases.