A heat exchanger tube with a tube axis, a tube wall, a tube outside and a tube inside. Continuously running, axially parallel or helically circling inner ribs are formed out of the tube wall on the tube inside, each inner rib having two rib flanks and a rib tip. A continuously extending groove is formed between adjacent inner ribs. The rib tip has at regular intervals recurring elevations which have an essentially frustopyramidal form. The inner ribs are raised in the radial direction on the contour line which is defined by the transitional edge of a rib flank to the rib tip and protuberances advancing out of the rib flank are formed in this region. Furthermore, the invention relates to a method for producing a heat exchanger tube.