Condensation of high-pressure refrigerants in small-diameter channels over a wide range of reduced pressures approaching the critical point is investigated in this two-part study. In this paper, Part I of the study, a multi-regime pressure drop model for condensing fluids in small-diameter channels is presented. Pressure drop measurements were conducted on condensing R404A in circular channels (inner diameter = 0.508, 1.00, 3.05 mm) over the entire quality range. Saturation temperatures were varied from 30 to 60 degrees C, and mass fluxes from 200 to 800 kg m(-2) s(-1), to evaluate their effect on pressure drop. The saturation temperatures investigated here correspond to reduced pressures between 0.38 and 0.77. The pressure drop models are developed using a microchannel flow regime map and the void fraction models presented by the authors in previous work. The resulting model predicts 85.5% of the data within +/- 25%. Part II of the study presents a corresponding heat transfer model.