A stitching geometry and method for selective interlaminar reinforcement of a CMC wall (20A). The CMC wall is formed of ceramic fiber layers (22) individually infused with a ceramic matrix, stacked, and at least partially cured. A row of holes is formed in the wall, and a ceramic fiber thread (25) is infused with a wet ceramic matrix and passed through the holes to form stitches (28, 30, 31). The stitches are then cured, causing them to shrink more than any remaining wall shrinkage, thus tensioning the stitches and compressing the wall laminae together. The stitches may have through-wall portions (30, 31) that are angled differently in different wall areas as a function of interlaminar shear over interlaminar tension, optimizing wall reinforcement locally depending on magnitude and direction of shear. Alternate rows of stitches (54, 56) may have offsets in a stitch direction (34) and/or different through-wall angles (A1, A2).