Developing the Martian whole atmosphere model (WAM) helps us understand the Martian land-atmosphere-space coupling comprehensively. In the history of Mars exploration, simulations performed by various Martian atmosphere models played a crucial role in ensuring the success of those Mars exploration emissions. On the other hand, more accurate observations also advance the model development. Realizing the importance of dynamics, physics, and chemistry in Mars aerospace motivated scientists to extend the upper boundary of models from the lower atmosphere to the exobase. At the beginning of the 21st century, the prototype of WAM covering the entire atmospheric region was developed, greatly facilitating the relevant investigation. Mars dust is one of the most critical activities that significantly affect the climate and weather in a wide vertical range and thus pose a considerable threat to the safety of Mars surface detectors. The better simulation of dust activities and their impacts on the atmosphere and space should be one of the critical points in the development of the Martian WAM. This paper reviews the development history of the Mars WAM, outlines its construction methods, summarizes relevant scientific research achievements, and discusses the essential scientific research and engineering value of independently developing the Mars WAM from multiple perspectives. We have selected three advanced Martian WAMs developed by international groups to discuss the relationship between their development and the exploration mission at that time, including the MGCM-MTGCM (Mars GCM coupled with Mars Thermosphere General Circulation Model), the M-GITM (Mars Global Ionosphere-Thermosphere Model), and the Mars PCM (Mars Planetary Climate Model). Then, we briefly introduce how to construct a Mars WAM and stress the key technologies in the model development. Furthermore, a preliminary numerical experiment under standard and high-dusty conditions was displayed, simulated by a coupled model of Mars-WRF and MITM (Mars Ionosphere-Thermosphere Model). The one-way coupled model presents a reasonable thermal structure at