A novel nonlinear higher order difference equation is introduced in this paper. The difference equation has the form x_(n+1)=1+A x_n/(x_(n-m)^k ) with A and initial conditions are positive real numbers, m,k ∈ {2, 3, 4, · · · }. The dynamics of the proposed equation are studied. Some new results on the periodicity, semicycles, boundedness and global asymptotically stability of solutions of the proposed difference equation are established.