The search warrant, while heavily redacted, looks into Cohen's business dealings and the Federal Bureau of Investigation raids of his Manhattan home and office.
Mueller also received approval on two separate occasions to track the numbers of Cohen's incoming and outgoing calls.
A search warrant and supporting affidavits that led to the search of former Trump attorney and personal fixer Michael Cohen's home and office have been released on Tuesday.
In July of 2017, agents working for Mueller obtained warrants to search Cohen's communications just two months into Mueller's appointment as the head of the Russian Federation probe.
Cohen pleaded guilty to eight counts in the Manhattan probe at a dramatic August hearing, and agreed to cooperate with federal prosecutors.
"The unsealed records provide significant insight into the investigations of Michael Cohen and serve as an important safeguard for public accountability", AP's director of media relations, Lauren Easton, said Tuesday.
The court files documented Mueller's handoff to the SDNY.
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July 18, 2017: Federal Bureau of Investigation agents sought and obtained a search warrant from U.S. District Judge Beryl Howell in Washington, D.C., for all emails sent or received from Cohen's Gmail account between January 1, 2016 and July 18, 2017. Mueller's team then handed over that data to the Manhattan federal prosecutors, and the Manhattan prosecutors also sought additional information filtered out of the Mueller searches.
Released months after they were first requested by news organizations, the documents are an early outline of the cases against Cohen, which played out in two separate investigations, one by Mueller's team and another by federal prosecutors in NY.
Cohen directly implicated Trump in the scheme, which involved hush-money payments to women who alleged during the 2016 campaign that they had affairs with Trump.
Cohen's lawyer Lanny Davis said Tuesday's release "only furthers his interest in continuing to co-operate and providing information and the truth about Donald Trump and the Trump Organisation to law enforcement and Congress". A judge ordered those sections to remain secret after prosecutors said they were still investigating campaign finance violations.
Instead, in describing to a federal judge the probable cause they had to investigate Cohen's campaign-finance scheme, investigators write nearly 20 pages of detail that are all redacted.
Michael Cohen raked in more than $3 million in consulting fees following President Trump's election, including almost $600,000 from an investment firm tied to a since-sanctioned Russian oligarch, according to court papers made public on Tuesday.
Both Cohen and Trump cried foul over the raids, with Cohen's attorney at the time calling them "completely inappropriate and unnecessary" and the president taking to Twitter to declare that "Attorney-client privilege is dead!"