Many regard it as the deathblow for the controversial treaty because the trade committee formally recommends how to vote to the wider parliament.
The European Parliament vote is due to take place in July.
Acta aims to tighten rules on both online and offline piracy but has attracted many critics.
One of its harshest detractors has been UK MEP David Martin, the lead member of the committee.
Speaking after the Inta vote, he said: "This was not an anti-intellectual property vote. This group believes Europe does have to protect its intellectual property but Acta was too vague a document," he said.
He said that it "left many questions unanswered", including the role of ISPs in policing the internet. He also said that many on the committee felt that the sanctions for breaches of copyright were "disproportionate".
"In the end it came down to vote on intellectual property or civil liberties and I’m glad that civil liberties won over," he said.
If the European Parliament voted to reject Acta, it will be scrapped