It also reported keen demand for its spring/summer fashion collection, and said it was targeting particularly shoppers in high-growth markets such as China.
Retail sales grew by 18.0 per cent to USD 505 million in the three months to the end of June, compared with performance a year earlier, Burberry said in a trading update.
Comparable sales, at stores open at least a year, advanced 13 percent.
The London-listed firm, famous for its trademark red, camel and black check design, achieved double-digit comparable sales growth in Asia Pacific and the Americas.
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Burberry added that it would seek to focus on "high growth" markets like China, but also repeated its guidance for falling first-half profits amid uncertain global economic conditions.
"We are pleased with our first quarter retail performance. Spring/Summer 2013 was a standout season," said Chief Executive Angela Ahrendts.
She added: "Looking forward, the macro outlook remains uncertain and we will continue to focus our investment on profitable high growth opportunities by channel, region and product categories."
Investors welcomed the earnings update, sending Burberry's share price to the top of London's FTSE 100 index of top companies.
"The more cautious tone has not held back Burberry (shares) ... With the board continuing to emphasise the opportunity they see for sales growth in the Far East," noted analyst Matt Basi at traders CMC Markets UK.