The political pair - aka actors in prosthetic make-up - arrived in London yesterday morning (see video below) to launch the novelty betting market ahead of this year's Cheltenham Festival, which starts today (14 March).
The mischievous stunt, devised by Paddy Power and consumer PR firm Taylor Herring, is a recreation of a famous photo of Putin riding shirtless through Siberia.
A spokesperson for Paddy Power said: "Toffs, rowdy footballers, and now world leaders - horse racing gets all sorts excited. With political punting at an all-time high, Vlad and The Donald seemed more than happy to swap nukes for nags ahead of Cheltenham."
The bookmaker said there had been a "huge surge" in political bets since Trump took office "and with a big week of horseracing ahead, it made perfect sense to offer punters the chance to bet on both".
The stunt has appeared in a number of national newspapers today, as well as gaining broad coverage online, Taylor Herring said.
As part of that stunt, the bookmaker attached a large sign to the club's gates, which reads: "Welcome to Jurassic Park." Yesterday the club's policy to only accept male members was overturned.
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