The programme, called 'Heffer and Liddle Unleashed', lasts about five minutes and is designed specifically for the internet.
Each week Liddle and Heffer will argue a number of topics, ranging from politics to economics.
The first installment of show is available to watch from today.
Guy Ruddle, editor of Telegraph TV, said: "[Rod] and Simon Heffer in conversation -- or should that be confrontation -- will make for fascinating viewing.
"We are always looking at the best way to deliver the finest commentary and analysis to our audience -- 'Heffer and Liddle Unleashed' should provide our users with a range of interesting political arguments and provocative opinion, to say the least."
Telegraph TV broadcasts shows exclusively on Telegraph.co.uk, including, 'News Now', 'The Culture Minute', 'Gadget Inspectors', 'Ten Minutes to Table' and 'Westminster Whispers'.
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