Read MoreThe UK's Madoff? Trader vanishes with $200M of client cash
The British company and its executives have denied any wrongdoing. HP, which bought Autonomy to lead a shift into software, alleged "some former members of Autonomy's management team used accounting improprieties, misrepresentations and disclosure failures" to inflate the company's apparent worth.
Autonomy's former chief executive Mike Lynch, an Irish-born mathematics whiz who led the firm when it was sold, has blamed the fall in its valuation on HP's mismanagement.
Fallout from the purchase included the departure of two Hewlett-Packard directors, and prompted Chairman Ray Lane to give up that post. It also included criminal and civil probes by authorities in the United States and United Kingdom.
HP, based in Palo Alto, California, said it passed information from an unidentified whistleblower to the U.S. Department of Justice, the SEC and the SFO.
"In respect of some aspects of the allegations, the SFO has concluded that, on the information available to it, there is insufficient evidence for a realistic prospect of conviction," the British authority said in Monday.
It said it had ceded jurisdiction over the case to U.S. authorities, whose investigation is ongoing.
Last year, HP reached a deal over litigation with shareholders over the botched acquisition, that involved shareholder attorneys agreeing to drop all claims against HP's current and former executives, including Chief Executive Meg Whitman.
In return, HP said it would pursue claims against former Autonomy executives, including Lynch. A federal judge later rejected the proposed settlement.
Follow us on Twitter: @CNBCWorld