A non-occluding drug-coated balloon catheter device for use in a blood vessel transporting blood comprises a catheter shaft including a guidewire lumen, a fluid lumen and a connector port. A balloon is mounted on the catheter shaft and includes an outer envelope surrounding the guidewire lumen in fluid communication with the fluid lumen; a drug coating applied on the exterior surface of the outer envelope; and at least one bypass lumen forming a passage extending from the proximal end of the outer envelope to the distal end of the outer envelope. When the balloon is positioned in a blood vessel and inflated, the exterior surface of the outer envelope presses the drug coating against the blood vessel and the bypass lumen is open between the distal end of the outer envelope and the proximal end of the outer envelope such that blood transport continues through the bypass lumen.