Andy Coulson, former editor of News of the World, has been found guilty of conspiracy to hack phones with others between 2000 and 2006, reports BBC.
Rebekah Brooks, Ex-News International chief executive, has been cleared of all charges by the jury at the Old Bailey, the report said on Tuesday.
British Prime Minister David Cameron has now apologised for appointing Coulson as director of communications.
Speaking after the verdicts were delivered, Cameron said: "I am extremely sorry I employed him. It was the wrong decision and I am clear about that."
The prime minister said he had asked Coulson about phone hacking before offering him a job and "accepted his assurances" that he knew nothing of the practice.
"Knowing what I know now, and knowing that those assurances weren't right, it was obviously wrong to employ him," he added.
Coulson and Mrs Brooks were among seven defendants on trial at the Old Bailey.
Cheryl Carter, Charlie Brooks and News International's former head of security Mark Hanna were cleared of conspiracy to pervert the course of justice.
The jury is continuing to consider misconduct in public office charges against Coulson and former News of the World royal editor Clive Goodman.
Royals, celebrities and victims of crime were among those whose phones were hacked by the News of the World which was closed on July 7, 2011.
The News of the World was a national red top newspaper published in the United Kingdom from 1843 to 2011.
It was at one time the biggest selling English language newspaper in the world, and at closure still had one of the highest English language circulations.