Besides direct mensuration from distructive sampling, there are two commonly used methods to estimate the aboveground biomass of a plant. One is using a biomass equation, such as M=a*D^b or M=a*D^b*H^c; and the another is using a biomass factor, such as biomass expansion factor (BEF) or biomass conversion factor (BCF). According to IPCC's method, the aboveground biomass can be estimated by:
Ma=V*D*BEF
where V is tree stem volume, D is density of stem, and BEF is biomass expansion factor.
If you have access to appropriate allometric equations for your region and species, you can use them (as Wei-Sheng said). Otherwise you have to cut some individuals per species and then produce allometric equations.
Please tell us, in what kind of area your data has been collected? it's the tropical area? Before to use some methods to estimate the tree biomass it is important to know the area type, state area and type of trees (including the wood density). If your are in tropical, please use the method allometric equations.