A direct synthesis design technique of multi-band filtering power dividers (FPDs) with high frequency selectivity is proposed, which is promising in both industrial and academic field. After a set of complete closed-form analytical equations are established for direct synthesis design, the proposed method is intensively described to reveal its powerful capacity in design of a multi-band FPD with any pre-specified responses, high multiband isolations and matching. To validate this design concept, a demonstrator triple-band microstrip FPD has been designed, fabricated, measured. What's more, a triple-band three-way FPD with 90° port-to-port phase differences as an extended example of the synthesis design technique has also been implemented, which furtherly shows the flexibility of the proposed method.