Justice A K Pathak issued the direction on the pleas of Uber India President Amit Jain and General Manager North Gagan Bhatia, who were directed by the magisterial court to appear before it.
They were also aggrieved by the lower court's August 19 decision that it will frame notice against them on the next date of hearing on September 23.
The high court, however, stayed the magisterial court proceedings till February 23, 2018 by when the transport department of Delhi government has been asked to file their response to the pleas of the two Uber India officials.
Senior advocate Rajiv Nayar, appearing for the Uber India officials, said the department could not have issued the challans or impounded the vehicles as the Delhi High Court had allowed the company to operate as a cab aggregator till the Motor Vehicle Act was amended to regulate them.
He said the amendment of the Act has been approved by the Lok Sabha and was awaiting approval of the Rajya Sabha, when the action by the transport department was taken.