Current drive and heating with lower hybrid (LH) waves were combined with neutral beam injection (NBI) heating on ASDEX up to total powers of 4.2 MW. The same LH current drive efficiency as in Ohmic target plasmas was obtained. For the energy confinement time, similar parametric dependences on heating power, plasma current and qa value as in plateau-like scaling were found for combined operation of NBI and LH current drive in the L-mode. H-modes were triggered routinely by injection of LH waves during NBI. Peaked current density profiles give better global confinement than broad profiles in combined NBI and LH current drive