In great demand of clean energy conversion devices, ideal electrode materials are expected to have low cost, high efficiency, and long durability in contrast with the benchmarked catalysts (e.g. Pt- and RuO2-based materials) for reversible oxygen electrocatalysis. Herein, a convenient and general strategy is presented for preparation of high-yield FeCo-nitrogen-carbon nanotubes with porous and hollow structure (FeCo-NCNTs), in which the chlorinated metals were initially chelated with 2,4,6-tris(2-pyridyl)-s-triazine (TPTZ), followed by ultimate pyrolysis and acid treatment. The resulting FeCo-NCNTs exhibited outstanding catalytic property for oxygen reduction reaction (ORR, E1/2 = 0.90 V) and oxygen evolution reaction (OER, 320 mV of overpotential at 10 mA cm−2) in alkaline surroundings. Besides, the density functional theory (DFT) calculations revealed that the porous structure created abundant active sites and active Fe-centered FeCo sites greatly reduced the OOH* energy barrier to promote the ORR. Moreover, the FeCo-NCNTs based rechargeable Zn–air battery exhibited high open circuit voltage (1.55 V), large output power density (148 mW cm−2), and robust stability (115 h, 345 cycles), surpassing the mixed Pt/C + RuO2 derived battery. Furthermore, the alternative FeNi-NCNTs and FeMn-NCNFs systems also displayed superior performances in the same environment. This strategy offers a new avenue for rational design of advanced metal-nitrogen-carbon materials with high electrocatalytic performances.