The panel announced their unanimous decision on Thursday in a Los Angeles federal court room.
The English rockerswere accusedof infringing on the copyright of the instrumental track Taurus by the American band Spirit.
They both smiled and hugged their team after the court adjourned.

Credit: Chris Walter/WireImage
But plaintiff attorney Francis Malofiy told reporters at the courthouse, They won on a technicality.
We proved they had access to the music, but [the jury] never heard the music.
(A studio recording of Spirits Taurus wasnt played during the hearing.)
They were limited to looking at a piece of paper.
It was all skewed in Led Zeppelins favor.
All I can say is money talks louder than common sense.
We did the right thing.
We tried to carry on Randys legacy … We had a small team versus multinational corporations.
I think we did a really good job.
When asked if they would appeal, he said, Theres obviously issues that can be appealed.