We examined a Ti-diffused optical waveguide formed on a thin X-cut LiNbO3 substrate for a lower-drive-voltage modulator. Under the single-mode condition, optical mode-size decreases with LiNbO3 substrate thickness below 10 µm. A thin-sheet LiNbO3 modulator could achieve a low-drive-voltage of 1.3 V with a bandwidth of 15 GHz by adopting a narrow electrode-gap.