The present invention relates to a centrifugal brake apparatus of a bait cast reel which is capable of selectively adjusting a braking force of a spool by a user in such a manner that a plurality of brake shoes closely contact with an inner surface of a brake ring in proportion to a rotation when casting a bait. The centrifugal brake apparatus according to the present invention includes a spool in which a spool shaft is rotatably engaged to a reel, a brake housing which is engaged to the spool shaft and is rotated together with the spool and includes a slide groove formed in a radial shape and in which a plurality of brake shoes are slidably engaged, and a cover which is engaged to the brake housing and is rotated together with the spool and is rotatably engaged to respect to the brake housing and includes a plurality of engaging protrusions for thereby selectively limiting the movements of the brake shoes.