BabyNames says that the trend is due to continue for another 12 months, but old fashioned names are then likely to fall from favour.
It reveals that the most popular names this year have been Ethan and Eva, with unusual names, such Gracie-Mai and Trent, on the decline.
Siobhan Thomas, the website’s chief editor, said: ‘Since 2011, vintage names such as Eve, Ava, Benjamin, Max, Harry and Poppy have been on the rise and this is set to continue in 2013.
‘However, we think that this will be the "last wave" for this trend, and old fashioned names may fall out of favour.'
She added: ‘We're also seeing fewer hyphenated names this year and there are far fewer names involving strange spellings with apostrophes all over the place.'
The trend for unisex names, such as Stacey and Jordan, has also faded, according to the website.
In the second half of 2013, it is expected that the name William and Kate chose for their royal baby will see a surge in popularity.
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