Higher order (α/π)2 (Z α)6 logarithmic corrections to the hydrogen Lamb shift are calculated. The results obtained show the two-loop contribution has a very peculiar behavior, and significantly alter the theoretical predictions for low lying S-states. PACS numbers 31.30 Jv, 12.20 Ds, 06.20 Jr, 32.10 Fn Typeset using REVTEX E-mail address: [email protected]