Abstract: A 3D quasi-steady state mathematical model for the electroslag casting of hollow ingot with liquid metal was developed and then solved with the method of sequential coupling using commercial software ANSYS and CFX to obtain the distributions of electric, magnetic, temperature and flow fields. The calculation results show that the distributions of electric, Joule heat, magnetic, temperature and flow fields in the slag pool are different from those obtained by conventional electroslag remelting, which is attributable to the use of a current conductive mold. The high temperature region is near the outer mold, far from the slag-metal interface, with the highest temperature up to 2113 K. There are two vortexes in the slag pool, and the slag is driven mainly by buoyancy, with the maximum velocity of slag being 0.068 m·s^-1. The shape of molten metal pool is like a shallow dish, which is beneficial to solidification quality of hollow ingots.