The technique of continuous casting with heated mould is a kind of near-net-shape processing technology, which combines unidirectional solidification with continuous casting and has been used widely for new material development and processing. A steady-state heat-transfer model was suggested for pure metal case. Some of modeling parameters, such as equivalent specific conductance and equivalent heat-transfer coefficient, etc, had been defined. The analytic solution of temperature profile along the axis of casting rod was obtained for solid-liquid interface to be as origin of position coordinate, by which the relations had been solved among mould temperature, casting speed, solid-liquid interface position, equivalent specific conductance between mould and metal, equivalent heat-transfer coefficient of cooling of cast rod, temperature gradient and cooling rate of melt in front of solid-liquid interface. As an example, the coordinate relations of solid-liquid interface position, mould temperature and casting speed were calculated and compared with experimental results in the case of pure copper. The calculation results conformed very well to the experimental ones. And it was indicated that the cooling rate of melt in front of solid-liquid interface had a nonlinear relation with casting speed during steady continuous casting process.