A medical catheter includes a deflectable and compressible catheter shaft; a pull ring near a distal end of the catheter shaft; a distal tip that includes a tip element and a mounting shaft; and an attachment apparatus for securely attaching the distal tip to the catheter shaft, the attachment apparatus including a compression ring which compresses the catheter shaft and the mounting shaft together. The compression ring can be located around the catheter shaft to compress the catheter shaft against an outer surface of the mounting shaft, or within the catheter shaft to compress the catheter shaft outwardly against an inner surface of the mounting shaft. The catheter can be a non-irrigated ablation catheter, with the tip element being a tip electrode, and it can be an irrigated ablation catheter, with the distal tip including a fluid manifold.