The invention relates to a heat exchanger tube with a tube axis and with a tube wall having a tube outside and a tube inside, axially parallel or helically encircling inner ribs, with a groove which lies in each case between adjacent inner ribs, being formed from the tube wall on the tube inside, the helix angle, measured with respect to the tube axis, of the inner ribs being smaller than or equal to 45 DEG , the region of the inner ribs which is remote from the tube wall being deformed at regular intervals asymmetrically on one side essentially in the tube circumferential direction, the deformed material of the inner ribs forming protrusions above the groove, the protrusions extending in each case over a finite deformation zone along an inner rib, the markedness of the deformation changing continuously within the deformation zone, the deformation being marked to a greater extent in the middle of the deformation zone then at the margins, and cavities which assist the formation of bubbles being located between the groove bottom, the sides of the inner ribs and the protrusions formed. A further aspect of the invention includes a method for producing a heat exchanger tube according to the invention, with integral outer ribs helically encircling on the tube outside.