Graduated with a bachelor’s degree in agronomics from the National Agrarian University. Oxford College graduate. In 1995 founded a small grain trading enterprise focusing on grain exports out of Ukraine, which through the years grew into a present Kernel. Chairman of the board and majority shareholder of Kernel Holding S.A. since 2007.

Kernel Holding S.A. completed the initial public offering (IPO) on the Warsaw Stock Exchange (WSE) raising $221 million in November 2007. Since the debut on the WSE the market capitalisation of the company has tripled and reached US$2 billion in 2011. The IPO of Kernel Holding S.A. was named the Best IPO in Central and Eastern Europe on the WSE. Kernel is a member of WIG20 index of the Warsaw Stock Exchange.

From 2007, parliamentary deputy of Ukraine of the 6th convocation, from the Yulia Tymoshenko Bloc. Fellow of the Agrarian Policy and Land Relations Committee.

In June 2010, Verevskiy crossed to the Stability and Reform coalition formed by the Party of Regions, Lytvyn Bloc and Communist Party factions. Since October 2010, member of the Party of Regions faction.

In 2012, US Forbes Magazine valued net worth of Andrey Verevskiy at US$1 billion. In April 2016 the Ukrainian magazine Focus estimated his wealth at $642 million.

Verevskiy was placed at number 46 on the electoral list of Party of Regions during the 2012 Ukrainian parliamentary election. He was re-elected into parliament. The Higher Administrative Court of Ukraine stripped Verevsky of his seat in parliament on 5 March 2013 because he simultaneously was parliamentary deputy and headed a commercial entity.