The redesign, overseen by art director Nicholas Donaldson, will run through all areas of the newspaper, including the news, sport, business, travel, home and leisure sections.
The paper said the revamp will make the title look smarter and easier to read.
Patience Wheatcroft, editor of the Sunday Telegraph, said: "It's a redesign of the look of the newspaper, not of the content. The new typography and layout will freshen up the newspaper, making it a little bit lighter and a little bit younger.
"We aim to retain the Telegraph's character and feel but make it more visually appealing."
According to the latest ABC figures for April, the Sunday Telegraph experienced a 3.8% increase in sales for the month, hitting 666,905 copies, but the paper's six-month average is down 4.4% to 654,667 copies.
Last month, the Financial Times launched a new global TV advertising campaign to promote its new refreshed branding.
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