Nuclear magnetic resonance on oriented nuclei (NMR-ON) of La existing as a dilute impurity in Fe was observed for the first time. NMR-ON experiments were performed by detecting the 1596 keV gamma rays from the beta decay of La-140 in external magnetic fields of 0.1, 0.1 0.4 and 0.6 T. From the external magnetic-field dependence of the resonance frequency. the magnetic hyperfine field and the Knight shift were deduced to be B-hf = -47 +/- 1 T and K = -4.0 +/- 3.4% respectively. The effective relaxation time of (LaFe)-La-140 at 8 mK in an external magnetic field of 0.2 T was determined to be 8.8 +/- 1.5 min using a single-exponential fit. The present value of the magnetic hyperfine field agrees with that deduced from a two-site model by the low-temperature nuclear orientation method.