Freud Communications founder Freud jumped 42 places to number 336, as a joint entry with his wife Elizabeth Murdoch. The Sunday Times listed the couple with a fortune of £190m, up £42m from last year.
Brunswick founder Parker came in at joint 714, with £90m. He rose from number 853 in 2009 with £85m.
The Rich List reported that fortunes in Britain are soaring. The collective wealth of the 1,000 multimillionaires has climbed to £335.5bn, up £77.27bn on 2009. This is a 29.9 per cent increase, easily the biggest annual rise in the 22 years of the Rich List.
WPP chief executive Sir Martin Sorrell also saw a rise in his fortune in 2010. Sorrell's riches rose by 51 per cent from £83m to £125m, taking him from number 687 to 523.