We have investigated the growth of InN films by plasma assisted molecular beam epitaxy on the Si-face of 6H-SiC(0001). Growth is performed under In-rich conditions using a two-step process consisting of the deposition of a thin, low-temperature 350 °C InN buffer layer, followed by the subsequent deposition of the InN epitaxial layer at 450 °C. The effect of buffer annealing is investigated. The structural and optical evolution of the growing layer has been monitored in real time using RHEED and spectroscopic ellipsometry. Structural, morphological, electrical and optic properties are discussed.1 Introduction InN is a very attractive material for future optical and electronic devices. This is because of its outstanding material properties such as the smallest effective mass, largest mobility, highest peak and saturation velocities, and smallest direct band gap in family of nitride semiconductors. To date, InN has been the least studied of the III-nitride materials because of the difficulty in growing goodquality InN without excess In or In droplets on the surface, or polycrystallinity. The bandgap of InN has long been thought to be approximately 1.9 eV. Recently, various values of the optical band gap from 0.7 eV to 1.7 eV have been correlated with the measured free electron concentration [1]. Progress has been made in the growth of high-quality InN. InN is being grown predominantly by molecular beam epitaxy (MBE) on sapphire using AlN [2,3] Herein, we report on the plasma assisted MBE growth of InN films on 6H-SiC substrates using a twostep process consisting of the deposition of a thin low-temperature InN layer followed by its annealing and subsequent deposition of the epitaxial layer. We discuss the impact of the In-rich deposition conditions and of the annealing of the InN buffer on the structural, morphological, optical and electrical properties of films, which were characterized by X-ray diffraction, atomic force microscopy, spectroscopic ellipsometry (both ex-situ and in-situ), and Hall effect measurements. We show that optimisation of annealing of the low-temperature InN nucleation layer, preventing its decomposition, yields an InN nucleation layer completely wetting the SiC substrate, which results in improvement of InN epitaxial layer.