The invention provides a turning type multi-spindle attachment used for mounting a plurality of drills or taps to a drilling or tapping machine. This attachment comprises a mounting cylinder fixed to the spindle quill of the drilling or tapping machine and a body positioned such that a turning position thereof is adjustable relative to the mounting cylinder, whereby a plurality of drills or taps are rotatably supported by the body. The position of the drills or taps is adjustable around the mounting cylinder by causing turning of the body relative to the mounting cylinder.