A balloon dilatation catheter for use in a valvuloplasty procedure includes a catheter shaft and a spiral perfusion balloon mounted thereon. The perfusion balloon is formed from an inflatable tube that is in fluid communication with a catheter shaft inflation lumen. The inflatable tube is coiled into a series of windings that in an inflated configuration form a cylindrical or hourglass profile. In the inflated configuration, inner surfaces of the coiled windings of the inflatable tube define a perfusion lumen to allow blood flow through the perfusion balloon. Adjacent windings may be secured together with a flexible adhesive and/or a support weave formed from one or more filaments of material that criss-crosses between the adjacent windings along substantially the entire length of the spiral perfusion balloon.