Shazam, a UK company founded in 1999, allows people to use their smartphone or computer to identify and buy music through a snippet of sound.
Shazam, which says it has more than 100 million monthly users, makes most of its revenue from commissions paid on referrals to Apple's iTunes Store.
Neither Apple nor Shazam have commented on the reports on the TechCrunch site.
If the deal is confirmed, Shazam will become the latest in a string of UK technology firms to be bought up by larger businesses.
