A multi-beveled needle point geometry for hypodermic needles such as pen needles. A proximal bevel is formed at a first angle of inclination, a pair of intermediate bevels at a second angle of inclination, and a pair of distal bevels at a third angle of inclination and differing angles of rotation. The second angle of inclination is substantially different than the first angle of inclination to define a marked apex at the intersections between the proximal bevel and the intermediate bevels. At least one smooth transition is typically provided between adjacent bevels, between a bevel and an outer surface of the needle, and/or between a bevel and the lumen of the needle.