Data from the Tibet III air shower array (with energies around 3 TeV) and from the Tibet II array (with energies around 10 TeV) have been searched for diffuse gamma rays from the Galactic plane. These arrays have an angular resolution of about 0=9. The sky regions searched are the inner Galaxy, 20 l 55 , and outer Galaxy, 140 l 225 , and jbj 2 or 5 . No significant Galactic-plane gamma-ray excess was observed. The 99% confidence level upper limits for gamma-ray intensity obtained are (for jbj 2 ) 1:1 Â 10 À15 cm À2 s À1 sr À1 MeV À1 at 3 TeV and 4:1 Â 10 À17 cm À2 s À1 sr À1 MeV À1 at 10 TeV for the inner Galaxy, and 3:6 Â 10 À16 cm À2 s À1 sr À1 MeV À1 at 3 TeV and 1:3 Â 10 À17 cm À2 s À1 sr À1 MeV À1 at 10 TeV for the outer Galaxy, assuming a differential spectral index of 2.4. The upper limits are significant in the multi-TeV region when compared to those from Cerenkov telescopes in the lower energy region and other air shower arrays in the higher energy region; however, the results are not sufficient to rule out the inverse Compton model with a source electron spectral index of 2.0.