We report plasma-assisted molecular beam epitaxy of InXGa1-XN films on c-plane sapphire substrates. Prior to thegrowth of InXGa1-XN films, GaN film was grown on the nitride c-plane sapphire substrate by two-dimensional (2D) growthmode. For the growth of GaN, Ga flux of 3.7×10−8 torr as a beam equivalent pressure (BEP) and a plasma power of 150W with a nitrogen flow rate of 0.76 sccm were fixed. The growth of 2D GaN growth was confirmed by in-situ reflection high-energy electron diffraction (RHEED) by observing a streaky RHEED pattern with a strong specular spot. InN films showedlower growth rates even with the same growth conditions (same growth temperature, same plasma condition, and same BEPvalue of III element) than those of GaN films. It was observed that the growth rate of GaN is 1.7 times higher than that ofInN, which is probably caused by the higher vapor pressure of In. For the growth of InxGa1-xN films with different Incompositions, total III-element flux (Ga plus In BEPs) was set to 3.7×10−8 torr, which was the BEP value for the 2D growthof GaN. The In compositions of the InxGa1-xN films were determined to be 28, 41, 45, and 53% based on the peak positionof (0002) reflection in x-ray θ-2θ measurements. The growth of InxGa1-xN films did not show a streaky RHEED pattern butshowed spotty patterns with weak streaky lines. This means that the net sticking coefficients of In and Ga, considered basedon the growth rates of GaN and InN, are not the only factor governing the growth mode; another factor such as migrationvelocity should be considered. The sample with an In composition of 41% showed the lowest full width at half maximum valueof 0.20 degree from the x-ray (0002) omega rocking curve measurements and the lowest root mean square roughness valueof 0.71nm.