A US jury has ordered a 32-year-old woman to pay $US1.92 million ($2.4 million) in damages for illegally downloading 24 songs in a high-profile digital piracy case.

Jammie Thomas-Rasset, a single mother of four from the US state of Minnesota, was found liable for using the Kazaa peer-to-peer file-sharing network to download the songs over the internet.

Jammie Thomas-Rasset pictured in 2007.

The jury took just under five hours to reach its verdict.

It ordered Thomas-Rasset to pay $US1.92 million - or $US80,000 a song - to six record companies: Capitol Records, Sony BMG Music, Arista Records, Interscope Records, Warner Bros Records and UMG Recordings.