This paper presents a new millimeter-wave solid-state power combining amplifier, which is based on a waveguide-microstrip E-plane dual-probe four-way power combining network. With a compact structure and an easy fabrication process, this combining network fulfils waveguide-to-microstrip transition and power combining simultaneously, and shows a broad-band low loss performance in Ka-band. With good thermal property, a four-way high power combining amplifier is fabricated. The measured output power is more than 40 dBm in 32-37 GHz, and the highest output power, 15.8 W, occurs at 32 GHz. The corresponding combining efficiency is more than 77% in 32-38 GHz.