"One America is wholly owned, operated and financed by the Herring family in San Diego. They are as American as apple pie," said OAN attorney Skip Miller.
"They are not paid by Russia and have nothing to do with the Russian government," he added. "This is a false and malicious libel, and they're going to answer for it in a court of law."
The complaint was filed against Maddow, MSNBC and also Comcast Corporation and NBC Universal Media.
They allege that Comcast committed "anti-competitive censorship" against the network because their conservative worldview was in conflict with the liberal values of their progressive network, MSNBC.
OAN has garnered attention after President Donald Trump issued several complaints against Fox News that it was biased against him.
"The New @FoxNews is letting millions of GREAT people down!" the president tweeted in August.
"We have to start looking for a new News Outlet," he added. "Fox isn't working for us anymore!"
Fox News host Neil Cavuto fired back a scathing response, saying, "Mr. President, we don't work for you.
"I don't work for you," he added. "My job is to cover you, not fawn over you or rip you, just cover you. Call balls and strikes. Our job is to keep score, not settle scores."
Here's more on Trump's complaints against Fox News:
Trump tweets a rare criticism of Fox Newswww.youtube.com