The singer-songwriter says Trump has been repeatedly breaching copyright laws by playing his music at political rallies and events.
The filing, shared on Young’s website, objects to the use of his songs Rockin' in the Free World and Devil's Sidewalk for Trump’s "un-American campaign of ignorance and hate."
The songs were used at a Trump rally in Tulsa without a license, and both songs had been used previously by the campaign.
The Canadian rock star said he had complained about the use of his music since 2015, but had been “wilfully ignored.”
“This complaint is not intended to disrespect the rights and opinions of American citizens, who are free to support the candidate of their choosing,” the copyright infringement complaint reads.
“However, Plaintiff in good conscience cannot allow his music to be used as a ‘theme song’ for a divisive, un-American campaign of ignorance and hate.”
The Trump campaign is yet to respond.
Young, who has US citizenship, is seeking up to $150,000 (£114,400) per infringement.
In July, Young wrote a blog post criticising the Trump campaign’s use of his songs.
“Imagine what it feels like to hear Rockin’ in the Free World after this president speaks, like it is his theme song,” he wrote. ‘I did not write it for that.”