Both Mr Cohen's lawsuits claim the dossier contained "false and defamatory" allegations about him that resulted in "harm to his personal and professional reputation, current business interests, and the impairment of business opportunities", ABC News reported.
When reached by phone on Tuesday night, Cohen further criticized the "lie-filled" dossier. "My name was included only because of my proximity to the president", Cohen revealed in an interview with Bloomberg.
Details of the dossier finally became public in January past year, when Mr Trump was briefed on its existence and the potential security threat it posed. Buzzfeed published the dossier in its entirety almost a year ago, which it said it obtained from a source it didn't identify.
BuzzFeed responded with a Twitter post saying the dossier continues to be the subject of investigations by Congress and intelligence agencies, was shown to two USA presidents and described in detail by news outlets worldwide.
"Even though defendant BuzzFeed expressly acknowledged the unverified (and potentially unverifiable) nature of the dossier's allegations, defendant BuzzFeed published the un-redacted dossier and the article anyway - without attempting to determine the veracity of these reports with plaintiff himself", Cohen wrote in the lawsuit.
The lawsuits were not immediately available on online court resources. It was presented to two successive presidents, and has been described in detail by news outlets around the world.
Liam Neeson makes valiant effort to keep 'The Commuter' on the rails
Subtlety is not a strength here, though that's sure to elicit applause in most theaters where " The Commuter " will sell out. It's also remarkable that there are no delays on the train -- that may be the most unbelievable aspect of them all.
The suit against Fusion GPS and its co-founder Glenn Simpson was filed in federal court in the Southern District of New York, Cohen said. Its interest to the public is obvious.
Its existence - well known in journalistic circles before it was published a year ago - added credence to allegations that the Trump campaign was working with the Kremlin to secure victory in the 2016 election. "The Russia investigation, meanwhile, didn't turn out to be some minor side story but instead the central challenge to Mr. Trump's presidency".
"It has helped journalists explain to their audience the investigation into Russian influence on the 2016 election", he said. Trump has said he expects Mueller to be fair to him and that he and his campaign never colluded with the Russian government.
In October, The Washington Post reported the Clinton campaign and the Democratic National Committee (DNC) had helped fund Fusion GPS' research on Trump's alleged ties with Russian Federation.
Cohen is also reportedly suing Fusion GPS - the intelligence firm that commissioned the research into the alleged ties between Trump and Russian Federation - and its cofounder, Glenn Simpson, Bloomberg reported.
As special counsel Robert Mueller's investigation continues to drag on and vocal celebrities like film director Rob Reiner continue to insist there is a tie with Russian Federation yet to be unearthed, Trump attorney Michael Cohen says he has reached his limit.