The pop song came top in a poll of 2,000 wedding videographers, who were asked for the most requested songs for the bride and groom's traditional dance.
Originally released in 1999, the song spent 22 weeks in the UK singles charts and topped the American 'Billboard' country singles charts for eight weeks.
I Don't Want to Miss a Thing by American rock band Aerosmith, released in 1998, came second.
The track, which peaked at number 4 in the UK singles charts, was described by Simon Cowell in series seven of the talent show American Idol as "one of the great songs of all time".
Shania Twain's 1998 hit From This Moment On came third, and Bryan Adams' (Everything I Do) I Do It For You) was the fourth most popular choice.
Released in 1991 and featured as part of the soundtrack for the film Robin Hood: Prince of Thieves, the song spent a record-breaking 16 consecutive weeks at number one in the charts, also topping the charts in 10 other European countries.
Selling 1.53 million copies, it was the best-selling UK single since the 1984 'Band Aid' record.
At number five on the poll conducted by PRS For Music, Take That's Rule the World was the only track by a UK artist to enter the top five.
Written for the film Stardust in 2007, the song was the fifth highest-selling single of the year, despite only being released in October, and remained in the top 100 in the UK charts for almost 18 months.
It was also the most recent release to feature in the poll, which favoured ballads from the 1980s and 90s.
Van Morrison's Have I Told You Lately That I Love You, from 1989, came sixth, and Westlife's Flying Without Wings was number seven in the poll.
From Westlife's self-titled debut album, the 1999 track was the Irish band's third UK number one.
Another popular 90s ballad was Robbie Williams' greatest commercial success, the double-platinum single Angels, which came in at number 8 at the poll.
The only artist to have two songs in the top 10, Shania Twain's 1998 single Still The One is ninth in the survey.
Hawaiian singer-songwriter Jack Johnson's Better Together, released in 2006, completed the list at number 10.
Ellis Rich, chairman of PRS for Music, said: "The song at the first dance tends to make weddings more memorable and extra special.
"It is a testament to the power and universality of music that it always accompanies the big events in our lives and gives them extra meaning."
Top 10 most popular wedding first dance songs:
1. Lonestar – Amazed
2. Aerosmith – Don't Want To Miss A Thing
3. Shania Twain – From This Moment On
4. Bryan Adams – (Everything I do) I Do It For You
5. Take That – Rule The World
6. Van Morrison – Have I told you Lately
7 Westlife – Flying without Wings
8. Robbie Williams – Angels
9. Shania Twain – You're Still The One
10 Jack Johnson – Better Together
