"Sushma ji presented India's viewpoint very well at UNGA. Congratulations to her," Delhi Chief Minister Arvind Kejriwal said.
AAP's Overseas Convenor Kumar Vishwas termed her speech as historic and a befitting reply "tearing apart Pakistan's false propaganda".
He asked Pakistani Prime minister Nawaz Sharif to try and understand the realities that Swaraj spoke about in her address to the world.
Terming Swaraj as one of the finest orators in Indian politics, Vishwas went on to call her the "daring voice of Indian pride".
The AAP government and the Centre are continuously locked in a turf war.
"Kejriwal and Vishwas's tweets praising Sushma Swaraj's speech today once again proved that when it comes to national issues and especially at international forums, AAP will always rise above petty political differences for the interests of the nation," the party said in a statement.