The actor is one of a number of stars in the country to work with People for the Ethical Treatment of Animals (PETA) on the ban.
In April, Abraham wrote to the Ministry of Environment and Forests, stating: "Unlike human performers, animals are forced to entertain through the use of fear, pain or hunger."
He urged the government to "make the compassionate choice by issuing an immediate ban on the use of all animals in circuses".
A statutory body operating under the ministry has now confirmed an end to the registration of elephants for performances because of the cruelty and abuse that they endure.
PETA India's investigation of 15 circuses, conducted from November 2012 to July 2013, revealed that animals had died from inadequate care or had simply "gone missing", drunken circus staff were handling animals and animals with wounds and diseases had not received veterinary care.
Shilpa Shetty, Hard Kaur, Malaika Arora Khan, Rakhi Sawant and Sherlyn Chopra are among the other stars who have supported PETA India's campaign against the use of animals in circuses.
Ahead of a lecture in Delhi this week titled 'The biggest star of all: the elephant in Hindi cinema', long-term elephant supporter and Indian cinema expert Rachel Dwyer described the ban as "great news".