A high-volume peripheral intravenous (IV) catheter and method includes an elongate stylet removably disposed in a lumen of an elongate catheter. The catheter has a proximal cylindrical shape from an inlet port transitioning at a transition to a distal tapered conical shape terminating at the outlet port, and having a larger internal diameter at the inlet port and a tapering smaller internal diameter between the transition and the outlet port. A plurality of side outlet ports is formed laterally through the catheter. A cross-sectional area of the outlet port and the side outlet ports together is equal to or greater than a cross-sectional area of the inlet port.