The objective of this work was to describe the drying kinetics and evaluate the physiological quality of Vigna unguiculata L. Walp seeds after drying. Seeds were harvested with a moisture content of 0.31±0.02 (dry base) and subjected to drying in a forced circulation oven under different conditions of temperature and relative humidity: 40ºC, 28.62%; 45°C, 26.62%; 50°C, 17.46%; 55°C, 16.57% and 60°C, 9.28%, until their moisture content reached 0.12±0.01 (dry base). Different mathematical models were fitted to represent the seed drying kinetics, based on the Gauss-Newton method and complemented by Akaike Information Criterion (AIC) and Schwarz's Bayesian Information Criterion (BIC). Physiological properties were determined by assessing their electrical conductivity, germination percentage, emergence, germination speed index, and emergence speed index. It was concluded that the drying rate was higher for higher drying air temperatures and reduced along the drying time; the Midilli model presented the best fit to describe the drying kinetics of cowpea seeds at the temperature of 40°C and the Two-term model for the temperatures of 45, 50, 55 and 60°C. The effective diffusion coefficient ranged from 1.1378×10 -11 to 3.3698×10 -11 m 2 /s. The activation energy was 41.9894 kJ/mol. Electrical conductivity increased with an increase in drying air temperature, while germination, emergence, germination speed index, and emergence speed index with an increase in drying air temperature.