Justice Aruna Suresh sought a response from Gandhi by July 30 in the matter.
In a petition filed by Singh through his counsel Arjun Harkauli, he alleged that Gandhi made remarks linking him to Pakistan's ISI and working for a separate state of Khalistan.
He also accused the politician of insulting farmers and Muslims during the election campaign.
The elections in Pilibhit constituency in Uttar Pradesh had witnesses a controversy following Gandhi's hate speeches.
He was arrested under the National Security Act.
The petitioner is a first cousin of Gandhi's mother and former Union Minister Maneka Gandhi.
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