NOVELTY - The method comprises: pretreating a petroleum distillate feedstock; introducing and reacting (14) the petroleum distillate feedstock with hydrogen gas into a hydrotreating reactor in a presence of a hydrotreating catalyst under hydrotreating conditions comprising a temperature of 260-454 degrees C, a hydrogen partial pressure of 2000-14000 kPa and a liquid hourly space velocity of 0.5-10 h-1 to form an effluent mixture comprising hydrogen sulfide; and co-feeding and contacting (16) a combined feed comprising the effluent mixture, a recycle liquid and a biorenewable feedstock to a reaction zone.    USE - The method is useful for co-processing a biorenewable feedstock and a petroleum distillate feedstock such as light cycle oil for producing a hydrocarbon fraction useful as a green diesel fuel.    ADVANTAGE - The method is capable of co-processing the biorenewable feedstock and the petroleum distillate feedstock with reduced thermal energy consumption, improved performance and catalyst stability, and enhances cold flow properties of the green diesel fuel.    DETAILED DESCRIPTION - The method comprises: pretreating a petroleum distillate feedstock; introducing and reacting (14) the petroleum distillate feedstock with hydrogen gas into a hydrotreating reactor in a presence of a hydrotreating catalyst under hydrotreating conditions comprising a temperature of 260-454 degrees C, a hydrogen partial pressure of 2000-14000 kPa and a liquid hourly space velocity of 0.5-10 h-1 to form an effluent mixture comprising hydrogen sulfide; and co-feeding and contacting (16) a combined feed comprising the effluent mixture, a recycle liquid and a biorenewable feedstock to a reaction zone at reaction conditions in a presence of a deoxygenation catalyst to provide a reaction product and to maintain a minimum of 150 ppm sulfur in the combined feed. The combined feed has a concentration of biorenewable feedstock of 50 wt.% and the recycle liquid in a ratio (0.1:1-4:1) of recycle liquid to biorenewable feedstock. The introducing and reacting step comprises introducing and reacting the petroleum distillate feedstock with recycle hydrogen gas and with fresh hydrogen gas, and controlling a ratio of the petroleum distillate feedstock to the biorenewable feedstock in the combined feed. The contacting step comprises contacting the combined feed with hydrogen recycle gas, and adjusting the ratio of petroleum distillate feedstock to the biorenewable feedstock to meet sulfur requirements. The co-feeding step comprises adjusting the amount of effluent mixture to biorenewable feedstock in the combined feed.    DESCRIPTION OF DRAWING(S) - The diagram shows a flow chart of a method for co-processing a biorenewable feedstock and a sulfur-containing petroleum distillate feedstock.    Providing a petroleum distillate feedstock (12)    Reacting petroleum distillate feedstock (14)    Contacting combined feed. (16)