A method of automatically pouring molten metal from a ladle into a mold by tilting the ladle. In the method, the height of molten metal located above a molten metal outlet and the weight of molten metal flowing out of the ladle are estimated using an expanded Kalman filter on the basis of: the weight of the molten metal flowing out of the ladle, said weight being measured using a load cell; the voltage inputted to a servo motor; the angle of tilt of the ladle measured by a rotary encoder; and the position of the ladle in the lifting and lowering direction thereof. The sum of the weight of the molten metal flowing out of the ladle when the ladle is tilted rearward, said weight being estimated from the angle of tilt of the ladle and the height of the molten metal located above the molten metal outlet estimated by the expanded Kalman filter, and the weight of the molten metal flowing out of the ladle estimated by the expanded Kalman filter are estimated as the final weight of outflowing molten metal. The estimated final weight of outflowing molten metal is determined whether or not to be greater than or equal to a specific weight of outflow, and the operation of rearward tilting of the ladle is started on the basis of the result of the determination.