Singh had to pay a 3000-rupee fine for the offence, according to reports.
Assistant Commissioner of Police (traffic), H S Doon, told reporters that this episode would promote better traffic sense among the general public.
The off-spinner became the latest Indian cricketer to buy the American SUV after skipper Mahendra Singh Dhoni.
Harbhajan imported the car from England, which costs about 70 lakh rupees in India. After paying the duty, the cost of the vehicle has come to one crore rupees.
While Dhoni's Hummer is silver in colour, Harbhajan has opted for a "Black Beauty".
Harbhajan is also looking forward to shifting to a new home.
The house is under construction in the New Baradari area of the city. The plot was given by the state government for his outstanding performance in the 2001 home series against Australia.
However, he has no plans to sell off his ancestral home where he was brought up.
