The fraction of absorbed photosynthetically active radiation (FAPAR) is generally divided into the fraction of radiation absorbed by the photosynthetic components (FAPAR green ) and the fraction of radiation absorbed by the non-photosynthetic components (FAPAR woody ) of the vegetation. However, most global FAPAR datasets do not take account of the woody components when considering the canopy radiation transfer. The objective of this study was to develop a generic algorithm for partitioning FAPAR canopy into FAPAR green and FAPAR woody based on a triple-source leaf-wood-soil layer (TriLay) approach. The LargE-Scale remote sensing data and image simulation framework (LESS) model was used to validate the TriLay approach. The results showed that the TriLay FAPAR green had higher retrieval accuracy, as well as a significantly lower bias (R 2 = 0.937, Root Mean Square Error (RMSE) = 0.064, and bias = −6.02% for black-sky conditions; R 2 = 0.997, RMSE = 0.025 and bias = −4.04% for white-sky conditions) compared to the traditional linear method (R 2 = 0.979, RMSE = 0.114, and bias = −18.04% for black-sky conditions; R 2 = 0.996, RMSE = 0.106 and bias = −16.93% for white-sky conditions). For FAPAR that did not take account of woody components (FAPAR noWAI ), the corresponding results were R 2 = 0.920, RMSE = 0.071, and bias = −7.14% for black-sky conditions, and R 2 = 0.999, RMSE = 0.043, and bias = −6.41% for white-sky conditions. Finally, the dynamic FAPAR green , FAPAR woody , FAPAR canopy and FAPAR noWAI products for a North America region were generated at a resolution of 500 m for every eight days in 2017. A comparison of the results for FAPAR green against those for FAPAR noWAI and FAPAR canopy showed that the discrepancy between FAPAR green and other FAPAR products for forest vegetation types could not be ignored. For deciduous needleleaf forest, in particular, the black-sky FAPAR green was found to contribute only about 23.86% and 35.75% of FAPAR canopy at the beginning and end of the year (from January to March and October to December, JFM and OND), and 75.02% at the peak growth stage (from July to September, JAS); the black-sky FAPAR noWAI was found to be overestimated by 38.30% and 28.46% during the early (JFM) and late (OND) part of the year, respectively. Therefore, the TriLay approach performed well in separating FAPAR green from FAPAR canopy , which is of great importance for a better understanding of the energy exchange within the canopy.