The automatic coiling machine is a device for automatically coiling an elongated flexible element, such as a fishing line. The automatic coiling machine includes a housing adapted for mounting to a support surface, such as a wall of a boat. The housing includes at least one sidewall. A drive roller is rotatably mounted to the sidewall by a drive shaft. A drive system, such as a motor, is mounted to the sidewall for selectively and controllably driving rotation of the drive shaft and, thus, the drive roller. An idler roller is rotatably mounted to the sidewall adjacent the drive roller and contacting the drive roller so that rotation of the drive roller drives rotation of the idler roller. The sidewall is angled so that an axis of rotation of the drive roller is angled with respect to the axis of rotation of the idler roller.