Abstract We study perturbations of black holes absorbing dark energy . Due to the accretion of dark energy , the black hole mass changes . We observe distinct perturbation behaviors for absorption of different forms of dark energy onto the black holes . This provides the possibility of extracting information whether dark energy lies above or below the cosmological constant boundary w = -1 . In particular , we find in the late time tail analysis that , differently from the other dark energy models , the accretion of phantom energy exhibits a growing mode in the perturbation tail . The instability behavior found in this work is consistent with the Big Rip scenario , in which all of the bound objects are torn apart with the presence of the phantom dark energy .