Abstract: Discoveries of new extant or fossil forms have historically changed the hypotheses of relationship of tetrapods, not the appearance of new theories. At present a sister group relationship between tetrapods and elpistostegids and that of these two groups to osteolepiforms is accepted. A comparison of recent hypotheses on the interrelationships of sarcopterygians demonstrates that three hypotheses of the relationship of lungfishes to sarcopterygians except close to tetrapods nearly have the same probability. New basal sarcopterygians with new characters or new interpretations of the polarization of character states may solve the placement of lungfishes.