Forward Jet Production at HERA ------------------------------ New parton dynamics, characterized by an initial state cascade which is non-ordered in parton virtuality, are expected to become important in the kinematic region of small Bjorken-x. Evidence for this feature of QCD is searched for by studying events with a forward jet produced close to the direction of the incoming proton in the angular range 7 < theta_jet < 20 degrees. The measurements are compared with the predictions of simulations assuming ordered or non-ordered emissions in the initial state cascade. The cross section for forward jet production is presented as a function of x_Bj, and shows a significant deviation to the predictions based on DGLAP evolution. We also present the forward jet cross section as a function of the energy fraction the forward jet takes from the initial proton, and as a function of the transverse momentum of the forward jet.