The Ipsos Mori survey of 102 senior leaders of the UK’s top 500 companies has previously been won by Sir Richard Branson and Justin King, formerly the boss of retailer Sainsbury's.
This year, Sorrell and Dyson were backed by 14 per cent of respondents respectively as the most impressive business people in Britain at the moment.
The survey also found John Lewis holding on to its title as the company most admired by senior business figures with 14 per cent of respondents, ahead of Jaguar and British Airways which were both mentioned by 10 per cent. Dyson itself was joint fourth, with seven per cent, alongside Rolls-Royce.
Ben Page, chief executive of Ipsos Mori, said: "Our annual poll of Britain’s business leaders shows that John Lewis remains the UK’s most admired business by its peers, but we have two new business leaders tied as the most impressive – Sir Martin Sorrell of WPP and Sir James Dyson, the eponymous inventor, both new entrants. Getting chosen by their peers for what they have achieved is no small compliment."
Sorrell's triumph in this survey comes after he was named the second best communicator among entrants in PRWeek's UK Power Book 2016, which launched in December.