Thin films of nominal composition YBa 2 Cu 3 O 7 _x (YBCO) were produced on (100) SrTiO 3 substrates by coevaporation and furnace annealing. Film thicknesses in the range of 0.2 to 2.4,pm were analyzed. Microstructural investigations by cross sectional transmission electron microscopy (TEM) reveal a continuous layer of about 0.4 um thickness adjacent to the substrate with c-axis normal to the substrate plane. In thicker films the remaining top portion has the c-axis in the film plane. The critical current density (Jc) at 77 K decreases with increasing thickness in the thickness range exceeding 0.4 pm, qualitatively consistent with the microstructural observations, but quantitatively inconsistent with a simple model based on the microstructural data.