The Delhi Chief Minister's letter on Monday came in response to Mr Jung's "two letters".
Delhi Chief Minister Arvind Kejriwal has hit out at Lieutenant Governor Najeeb Jung, accusing him of "not paying attention to law and order in Delhi" and "creating hurdles" in the functioning of his government.
In a letter to Mr Jung, Mr Kejriwal claimed that Delhi has become "extremely unsafe" discouraging tourists to visit the national capital and expressed concern over law and order situation.
The Delhi Chief Minister's letter on Monday came in response to Mr Jung's "two letters" seeking details about some officers and consultants appointed by the AAP government.
Alleging that incidents of rape were rising in Delhi and there was spurt in crime, Mr Kejriwal said maintenance of law and order was the responsibility of the Lieutenant Governor. It appeared that there was no law and police and "jungle raj" prevailed all over the city, he said.
"I want to know what steps you have taken and will take in future to prevent rapes and improve the law and order situation in Delhi," he asked.
He also sought to know from Jung whether he had met Prime Minister Narendra Modi and Home Minister Rajnath Singh on the law and order issue.
Noting that maintenance of law and order in Delhi is also the responsibility of the central government, Mr Kejriwal asked the LG whether the PM and the Home Minister have ever expressed concern over "deteriorating law and order" in the capital.
"I hope that you will reply to my letter soon so that the people of Delhi could be informed about it (the law and order situation)," he said.
Yesterday, Mr Kejriwal had accused PM Modi and Mr Jung of "failing to control deteriorating law and order", saying that there was "complete jungle raj" in the city.