The deceased was identified as Dharampal (40), native of a village in UP's Badayun district, said police.
The speeding bus allegedly hit Dharampal while trying to overtake his rickshaw, after which the errant driver, later identified as one Praveen, fled the scene, said police.
Dharampal was rushed to a hospital, where he succumbed to his injuries, they said.
He was a widower, who lived with his brother and 10-year-old son at Keshopur Mandi area in west Delhi, said police.