In this work, an axisymmetric finite element model and a corona discharge measurement system are used to investigate the negative corona discharge process in air under different environmental conditions. The Trichel pulse train, distribution of electron density and electric field, and the electron generation rate are shown. Pulse frequency, critical electric field, and critical electron generation rate are studied at different values of temperature, relative humidity, and air pressure. The results show that the pulse frequency has a strong relationship with the critical electric field and critical electron generation rate. The pulse frequency increases linearly with the ambient temperature and the relative humidity, while it decreases with the air pressure. This numerical model is helpful in better understanding the mechanisms of negative corona discharge under various environmental parameters. © 2018 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.