The 77-year-old twin brothers, who also own the Ritz hotel and Littlewoods, remain in number one position in the publishing and advertising league table, with an estimated wealth of £2.25 billion this year, up from £2.2 billion in 2011.
Northern and Shell owner Richard Desmond comes second, with £1 billion, and Daily Mail owner Viscount Rothermere is third with £760 million.
There are also appearances in the publishing top 20 for the Thomson family, magazine publisher Felix Dennis and regional newspaper owner Sir Ray Tindle.
The full list, across all sectors, will be published this week in a supplement to the Sunday Times.
1 - Sir David and Sir Frederick Barclay - £2,250m
2 - Richard Desmond - £1,000m
3 - Viscount Rothermere and family - £760m
4 - The Thomson family - £700m
5 - Paddy McNally - £515m
6 - Viscount Cowdray and the Pearson family - £500m
6 - Felix Dennis - £500m
8 - Cristina Stenbeck - £369m
9 - Mark Getty and family - £330m
10 - Mike Danson - £310m
11 - Lord Iliffe and family - £266m
12 - Sir Martin Sorrell - £174m
13 - Mike Luckwell - £135m
14 - Philip and Patricia Brown - £132m
15 - Lord and Charles Saatchi - £130m
16 - Sir Ray Tindle - £125m
17 - Neil Hutchinson - £123m
18 - Nick Forman Hardy and family - £102m
19 - Alan Parker - £95m
20 - Gregory Nasmyth and family - £85m
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