"He has been urban development minister and still the condition of habitation in this city is worse," added Lekhi, who is also the party's spokesperson.
Like other Delhi constituencies, New Delhi is also witnessing a triangular fight. Another important contender is AAP's Ashish Khetan.
AAP won seven out of 10 assembly seats from the New Delhi parliamentary constituency in last December's assembly elections.
Asked whether she and her party fear that AAP can upset the applecart for the BJP in the general election, she said: "Nonsense! There is no sense of fear."
Though she dismisses Aam Aadmi Party (AAP) as no competition, in most of her campaign speechs she trashes the over a year-old party, which made a sensational debut in the assembly elections.