The scheme has hit the roads on trial basis for 15 days from the beginning of new year.
According to rule, cars with odd-numbered licence plates will only be allowed on the roads on odd-numbered dates and those with even-numbered plates on the others from 8am to 8 pm.
The scheme will not be put into force on Sundays.
Delhi Metro trains will make 70 additional trips during the odd-even trial period, taking the number of daily trips to 3,192, that will lead to a marginal increase in the frequency of its services to tackle an expected rush of passengers.
Many offices and residents' associations have arranged car-pools in Delhi and NCR. The government has also announced that special buses will ferry people between Delhi, Gurgaon and Noida.
If found guilty of violating the rule the offender will be slapped a fine of Rs2000 by traffic policemen and officials.
Vehicles carrying medical emergencies, women, VIPs, CNG cars and two-wheelers have been exempted from this odd-even formula.