Superconducting critical current densities, J//c, of sputter-deposited Nb//3Ge films have been measured in magnetic fields (up to 15 T) either parallel or normal to the film surface. J//c's at 15 T are in excess of 1 multiplied by 10**5 A/cm**2 for most of films with T//c above 20 K, and higher in parallel field. The highest J//c is approx. 4. 8 multiplied by 10**5 A/cm**2 for a film of approx. 2500 A in thickness. The H//c//2(4. 2K) of films is examined from the flux pinning theory of Kramer on the basis of the results of J//c(H), and the relation of H//c//2 to T//c is presented.