Mitochondrial biogenesis requires the import of most of their proteins from the cytosol. Therefore, efficient import apparatus is vital for eukaryotic cell function, particularly in highly energy demanding cells such as neurons and myocytes. Consequently, dysfunctional mitochondrial protein import is implicated in many diseases. This study explores the molecular basis and consequences of import failure in mammalian cells. We show that blocking import machinery has profound effects on mitochondrial ultra-structure and dynamics, but surprisingly little impact on import. The explanation is a remarkable mechanism in which healthy cells transfer mitochondria to cells with deficient mitochondrial import, and vice versa, through connecting tunnelling nanotubes. These observations suggest the existence of a widespread mechanism for rescue of mitochondrial import function in complex multicellular organisms.