"Saw a few violators of the #OddEvenScheme this morning but they are very much the exception to what seems to be working quite well," Mr Abdullah, who is in the national capital, wrote on Twitter.
Earlier, Mr Abdullah had tweeted that today, being the first working day since the odd-even scheme came into effect on January 1, would be the "real test" of the scheme.
Saw a few violators of the #OddEvenScheme this morning but they are very much the exception to what seems to be working quite well.— Omar Abdullah (@abdullah_omar) January 4, 2016
"Today will be the first real test of the #OddEvenPlan so good luck Delhi. Lots of interest what you do today," the former Chief Minister said.
Delhi government implemented the odd-even scheme for movement of vehicles from January 1 on a trial basis for 15 days as part of its efforts to reduce pollution in the national capital.
Under the scheme, private cars having odd registration numbers will be allowed to ply on odd dates and those with even numbers on even dates.