1. A video game apparatus comprising: a monitor for displaying game images; a plurality of operable members for operating the game images including a character displayed on the monitor; a data transmitter for transmitting data to an external side; a mode instructing member for selectively instructing a training mode and a transfer mode; a first setter for setting a character to be trained and its training initial values when the training mode is instructed; a training controller for obtaining training values to be added to the training initial values of the set character by causing the character to take actions in line of a training purpose according to the operation of the plurality of operable members; an item giving device for giving a plurality of kinds of items to the character which are prepared in advance and influential to sums of the training values in relation to at least one of the trained state of the character and action instructing operations given to the character by the operable members; and a judger for judging whether training has been successful; wherein data of the successfully trained character are transmitted to the external side by the data transmitter together with the training initial values when the transfer mode is instructed.