Music file-sharers have been blamed for a decline in world-wide CD sales.
It's the first time anyone in the UK will be taken to court for swapping tunes but it's happened before in the US and other countries.
In the US the Recording Industry Association of America (RIAA) has issued more than 5,700 lawsuits.
One of the people they caught was a 12-year-old girl from New York who was downloading TV themes and nursery rhymes.
In the end her mum paid the £1,250 fine after the courts in the US decided not to let the girl even though was a child.
Could I be sued for downloading music?
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