We grow BaHfO3 (BHO) nanorods in REBa2Cu3O7−x (REBCO, RE: Gd or Y) thin films on metal tapes coated with the inclined substrate deposited (ISD)-MgO template by both electron beam physical vapour deposition and pulsed laser deposition. In both cases the nanorods are inclined by an angle of 21°–29° with respect to the sample surface normal as a consequence of the tilted growth of the REBCO film resulting from the ISD-MgO layer. We present angular critical current density (Jc) anisotropy as well as field- and temperature-dependant Jc data of the BHO nanorod-containing GdBCO films demonstrating an increase in Jc over a wide range of temperatures between 30 and 77 K and magnetic fields up to 8 T. In addition, we show that the angle of the peak in the Jc anisotropy curve resulting from the nanorods is dependent both on temperature and magnetic field. The largest Jc enhancement from the addition of the nanorods was found to occur at 30 K, 3 T, resulting in a Jc of 3.0 MA cm−2.