A medical image processing apparatus for receiving an image file including medical image information, and for processing the medical image information so as to output a processed image file. The medical image processing apparatus includes: an output queue controller for controlling an output queue to define an order for outputting plural image files; an auxiliary controller for controlling a supplementary queue to supplement the output queue; and an output apparatus for outputting at least the plural image files. A medical network system is also configured for connectting, through a network, the medical image processing apparatus and an input apparatus to which the processed image file is inputted.