Business reporter Waseem Zakir was due to face BBC bosses at an employment tribunal last week.
He had launched a claim for unfair dismissal following his departure from the broadcaster in February.
Mr Zakir was the business and economics reporter on BBC Radio Scotland's Good Morning Scotland.
The 51-year-old, who had been with the BBC for more than 10 years, was a popular figure with listeners.
He left as part of a redundancy programme aimed at cutting costs at the corporation's Pacific Quay HQ.
He was due to air his grievances at a five-day employment tribunal hearing in Glasgow.
However, the Employment Tribunals Service said the case had been settled ahead of the hearing.
Business news on Good Morning Scotland is now presented by Gillian Marles.
BBC Scotland refused to comment.