Using the contraction procedure introduced by us in Ref. \\cite{ACC2}, we construct, in the first part of the present letter, the Jordanian quantum Hopf algebra ${\\cal U}_{\\sf h}(sl(3))$ which has a remarkably simple coalgebraic structure and contains the Jordanian Hopf algebra ${\\cal U}_{\\sf h}(sl(2))$, obtained by Ohn, as a subalgebra. A nonlinear map between ${\\cal U}_{\\sf h}(sl(3))$ and the classical $sl(3)$ algebra is then established. In the second part, we give the higher dimensional Jordanian algebras ${\\cal U}_{\\sf h}(sl(N))$ for all $N$. The Universal ${\\cal R}_{\\sf h}$-matrix of ${\\cal U}_{\\sf h} (sl(N))$ is also given.