South of Scotland SNP MSP Joan McAlpine, writing in her regular tabloid newspaper column, said detectives found her mobile and home phone numbers, as well as address, in notebooks belonging to private detective Glenn Mulcaire.
She wrote: "It is extremely unpleasant. You feel violated, as though your home has been broken into. It preys on your mind."
It emerged at the weekend that former Labour first minister Jack McConnell, now Baron McConnell of Glenscorrodale, is pursuing legal action after police told him that he and his children may have been the victims of phone hacking by the News of the World.
He said telephone numbers were found in the notes of Mr Mulcaire. The former Labour MSP said the discovery had been confirmed by Strathclyde Police on behalf of the Metropolitan Police.
Ms McAlpine said her first instinct after learning she may been linked to the scandal was to "hope it would go away".
She said there was no desire to "make political capital" out of the issue but went on to criticise Labour. "Labour were in government in both Westminster and Holyrood when our phones were hacked, about 2005 and 2006, It was a Labour government in London that failed us both."
She said the party's criticism of Alex Salmond for his links to News Corporation chairman Rupert Murdoch is "stomach churning". She continued: "Any First Minister worth his porridge would maintain good relations with that size of any employer."
Mr Salmond was accused last week by Labour leader Ed Miliband of being Mr Murdoch's "undercover lobbyist" during the media tycoon's proposed takeover of BSkyB. The First Minister said his concern was for employment in Scotland.
Ms McAlpine, a former deputy editor of The Herald, said she once worked for the Sunday Times, one of Mr Murdoch's titles. She added: "I never came across anything illegal there, nor indeed throughout my long career in journalism."
Labour business manager Paul Martin MSP wants Holyrood to hold its own probe into phone hacking despite the ongoing Leveson inquiry into media ethics.
Mr Martin said: "The revelations that News International hacked Joan McAlpine's phone are truly shocking. Coming hard on the heels of the news that Jack McConnell and his family had their phones hacked, this highlights again the necessity of the Scottish Parliament holding our own inquiry into phone hacking and the Murdochs, just as Westminster has.
"I repeat my call to the First Minister to hold urgent talks with all party leaders to set this up."
He said it must be "distressing" for Ms McAlpine that Mr Murdoch was "welcomed" to Mr Salmond's official residence, Bute House.
Mr Martin added: "Murdoch's henchmen have hacked his own aide's phone, yet Alex Salmond still acts as a lobbyist and apologist for Rupert Murdoch."
The First Minister has not said whether his phone has been hacked or not. He is expected to attend the Leveson inquiry but a date has not yet been set.
But Labour was accused of "hypocritical humbug" by SNP Home Affairs spokesman Pete Wishart MP, who questioned why Labour had not acted when the revelations first emerged.
He said: "This is hypocritical humbug from Labour. The whole phone hacking scandal happened on their watch and they chose to do absolutely nothing about it. Glenn Mulcaire's notebooks were seized well before the SNP won the election in 2007. Labour were in power both at Westminster and Holyrood at that time.
"They were clearly content to let phone hacking take place and the privacy of Joan McAlpine and others be violated. They could have chosen to uphold the law, but manifestly failed to do so. Bizarrely, they failed even to warn Jack McConnell that his phone appeared to have been hacked. He seems only to have been informed recently – years after this allegedly took place.
"This begs questions about what Gordon Brown knew at the time he was Prime Minister. If he did, know why did he not tell such a close political colleague as Jack McConnell what was going on? And if he didn't, then why was he so woefully out of touch?
"It is only since the Crown Office asked Strathclyde Police last year to investigate the Scottish end of this grubby affair that these revelations have come to light. For years, Labour have tried to bury this scandal. It is now returning to haunt them."
Labour leader Johann Lamont MSP hit back: "Now only Alex Salmond and the SNP think that Rupert Murdoch is a fit and proper person to run newspapers and television companies in this country.
"We know that the First Minister lobbied on Murdoch's behalf – having first denied it, but Alex Salmond finally admitted it. We know that he is blocking the Scottish Parliament from having our own inquiry into phone-hacking – despite the fact Jack McConnell had his phone hacked while First Minister.
"We know that Alex Salmond is refusing to say how his chief adviser Kevin Pringle was involved in his deal with Murdoch and doesn't want him to give evidence on oath to the Leveson Inquiry.
"What we need to know is why Alex Salmond thinks that Rupert Murdoch is still a fit and proper person to run media in this country. We need to know why Alex Salmond thinks it is fit and proper for Scotland's First Minister to lobby on his behalf. What we need is for the First Minister to explain himself to the Scottish Parliament at the first opportunity."
