A new multi-resonant three-phase utility frequency ac (UFAC) to high-frequency ac (HFAC) direct power converter for the industrial metal hardening induction heating (IH) applications is presented in this paper. The proposed ac-ac converter features direct frequency conversion with the wide range of soft switching by means of the minimized numbers of bidirectional switches. The conducting current of bidirectional switches can be reduced effectively owing to the multi-resonant tank while keeping a high power in the IH load. Accordingly, the practical power converter with simplicity, cost-effectiveness, and high efficiency can be realized on the basis of a simple pulse frequency modulation. The circuit topology and operating principle of the proposed converter are described, after which the design procedure of the multi-resonant tank and switching frequency is presented. The performances on the soft switching and the steady-state pulse frequency modulation (PFM) characteristics of the ac-ac converter are evaluated in experiment with the 1.7 kW / 85 kHz-90 kHz prototype. Finally, the feasibility of the proposed ac-ac converter is evaluated from a practical view point. Index Terms-Direct ac-ac converter, high frequency induction heating (IH), pulse frequency modulation (PFM), series-parallel resonance, zero current soft switching (ZCS), zero voltage soft switching (ZVS).