An estimated 150,000 cars remained off the roads on Monday, Kejriwal said. Violators of the "odd-even scheme" will be fined 4000 rupees (about 57 dollars).
It is not clear whether the scheme which was implemented in 2016 and 2017 makes much of a difference to the high levels of pollution usually seen this time of the year.
Crop stubble burning by farmers in Delhi's hinterlands, along with climatic factors like lack of winds add to emissions from heavy traffic, industry and the burning of garbage and fuel, to spike air pollution in the city in October and November.
Delhi's air quality index, which measures the concentration of poisonous particulate matter, hovered at "severe" levels of around 430 to 490 at several observation points on Sunday and Monday, according to the Central Pollution Control Board (CPCB).
The maximum reading on the index is 500 and anything above 400 is considered hazardous to health.
The Delhi government declared a public health emergency on Friday with schools to stay shut till Tuesday and the elderly warned not to venture outdoors.
Several cities in northern India also recorded dangerous levels of pollution, the CPCB data showed.
Delhi, a city with a population of 25 million, has been ranked among the world's most polluted cities in recent years.
-------------------------------------------------------------------------------------