Wax dispersion comprises water (less than 70-30 wt.%) as a continuous phase; at least one emulsifier (greater than 0.5-10 wt.%); and waxes (greater than 20-80 wt.%) as dispersion phase, where greater than 85 wt.% of waxes are long chained hydrocarbons with an average of more than 20 carbon atoms, the waxes have a solidification point of greater than 40-150[deg]C and as solid particles, the dispersed wax have a particle diameter of 10-500 nm. An independent claim is included for a procedure for hydrophobizing of material produced using fibers, chips or strands consisting of lignocellulose and/or cellulose with a wax dispersion, comprising providing the wax dispersion, contacting the fiber strands or chips with the wax dispersion for the application of the wax on the fiber, chip or strands; and pressing to form the material containing the fiber strands and chips, or optionally other components.