We present descriptions of the single crystal growth of uranium and cerium compounds via the Czochralski-pulling, self-flux and vapour transport methods. We also report the results of de Haas-van Alphen experiments and energy band calculations for a Hill-plot rule of UX3 (X: Si, Ge, Sn and Pb), heavy fermion systems of UPt3 and UPd2Al3, quasi-two-dimensional electronic states of UPtGa5, UX2 (X: Bi, Sb, As, P) and CeCoIn5, characteristic semimetals of UC and CeAgSb2, and quantum critical phenomena in UGe2 and CeRh2Si2.