A systematic synthesis method to generate transconductance filters using nodal admittance matrix (NAM) expansion is proposed. The obtained circuits with two input voltage terminals and three output currents employing only two grounded capacitors and three resistors can be used to realize the transconductance-mode universal filter. The synthesized filters enjoy the properties of orthogonal controllability between pole frequency and quality factor, low active and passive sensitivities and cascadability. The workability of the synthesized filter is verified by simulations to demonstrate the usefulness of the proposed method.