R136 is a luminous object in the core of the 30 Doradus nebula. It is resolved into three main components (a, b, c). The brightest component (R136a) has been suggested to contain a dominant supermassive star (about 2000 solar mass) or a group of very early O and WN stars. Spectra have been obtained for the components in R136. There are at least two components showing Wolf-Rayet-type spectral features: R136a1-WN4.5 and R136c-WN7. The OB population in R136a has an integrated spectral type of about O6 or earlier. The improved data for R136a do not support the previously alleged periodic variation in the 468.6-nm He II line velocity or the progressive redshifts in the higher Balmer absorption lines.