Justice G S Sandhawalia issued notice to the state's home department, the chief secretary and DGP Haryana and posted the matter for hearing on August 29.
The boxer's counsel submitted that the London Olympics quarter-finalist had approached the state government on many occasions saying other players from the state were given such appointments in the past.
He alleged that he was being denied the DSP's post arbitrarily by the state government.
Kumar had fought a legal battle in 2014 after he was not included in the Arjuna awards list despite fulfilling the criteria. He was later given the award.