He initially belonged to Telangana Rashtra Samithi but later joined Indian National Congress.
He was born to Vemula Kondaiah and Mallamma in Utukur village of Shali Gowraram Mandal Nalgonda district, Telangana, India and belongs to scheduled caste, Madiga community.
Veeresham won from Nakrekal in 2014 Telangana Assembly Elections for the first time by defeating sitting MLA Chirumarthi Lingaiah.
Several development activities were initiated with the support of Minister for Energy, Telangana G. Jagadish Reddy.
In 2023 Telangana Legislative Assembly election, he contested from the Indian National Congress and won with a majority of 68000 votes.