Barry Gardiner, a MP of UK, had sent a letter to Modi last week inviting him to the House of Commons to speak on 'The Future of Modern India'.
"Dialogue strengthens democracies. There is no alternative to dialogue, which enables us to understand each other to work for greater good," Modi wrote on the micro-blogging site twitter.
"Thankful to British MPs for their invite in the spirit of dialogue and engagement," he tweeted.
The Labour MP from Brent North, Gardiner while extending the invitation to Gujarat CM had stated that people in the UK and indeed the international community would be very interested to meet and hear what Narendra Modi has to say first hand.
Earlier, ending a decade-long boycott of Gujarat post 2002 communal riots, the UK government had resumed dialogue with the state last year when the British High Commissioner James Bevan met Modi and initiated discussions on a range of issues, including climate change and investment.