The husband of former first minister Nicola Sturgeon has been arrested in connection with an investigation into the funding and finances of the SNP.
Peter Murrell, 58, was taken into custody on Wednesday, April 5, and is being questioned by the force as a suspect as part of the ongoing probe.
Officers are also undertaking searches at "a number of addresses".
A report will be sent to the Crown Office and Procurator Fiscal Service.
A statement by the force added: "The matter is active for the purposes of the Contempt of Court Act 1981 and the public are therefore advised to exercise caution if discussing it on social media.
"As the investigation is ongoing we are unable to comment further."
Mr Murrell stepped down as chief executive during the recent leadership campaign.
Get unlimited access to The Herald with our Digital Pack and save over 20% annually
👉 Click here to sign up for this offer
The SNP said it continues to "co-operate fully" with the police following the arrest of the party's former chief executive.
It said: “Clearly it would not be appropriate to comment on any live police investigation but the SNP have been co-operating fully with this investigation and will continue to do so.
“At its meeting on Saturday, the governing body of the SNP, the NEC, agreed to a review of governance and transparency – that will be taken forward in the coming weeks.”
Why are you making commenting on The Herald only available to subscribers?
It should have been a safe space for informed debate, somewhere for readers to discuss issues around the biggest stories of the day, but all too often the below the line comments on most websites have become bogged down by off-topic discussions and abuse.
heraldscotland.com is tackling this problem by allowing only subscribers to comment.
We are doing this to improve the experience for our loyal readers and we believe it will reduce the ability of trolls and troublemakers, who occasionally find their way onto our site, to abuse our journalists and readers. We also hope it will help the comments section fulfil its promise as a part of Scotland's conversation with itself.
We are lucky at The Herald. We are read by an informed, educated readership who can add their knowledge and insights to our stories.
That is invaluable.
We are making the subscriber-only change to support our valued readers, who tell us they don't want the site cluttered up with irrelevant comments, untruths and abuse.
In the past, the journalist’s job was to collect and distribute information to the audience. Technology means that readers can shape a discussion. We look forward to hearing from you on heraldscotland.com
Comments & Moderation
Readers’ comments: You are personally liable for the content of any comments you upload to this website, so please act responsibly. We do not pre-moderate or monitor readers’ comments appearing on our websites, but we do post-moderate in response to complaints we receive or otherwise when a potential problem comes to our attention. You can make a complaint by using the ‘report this post’ link . We may then apply our discretion under the user terms to amend or delete comments.
Post moderation is undertaken full-time 9am-6pm on weekdays, and on a part-time basis outwith those hours.
Read the rules hereComments are closed on this article