Its place has been taken by the state alcohol monopoly Systembolaget.
"We have a significant fall in the trust for both the national radio and the television," Toivo Sjören, head of opinion at the polling company Kantar Sifo told Radio Sweden.
It's mainly the Moderate Party voters who are losing trust in a significant way, and that counts for both Swedish Radio and the television."
Only 64 per cent of the 1,200 people questioned by the Sifo polling company said that they had a lot, or quite a lot, of trust in Swedish Radio, compared to 70 per cent in 2016.
The proportion of people expressing trust in Swedish Television saw an even more pronounced fall, from 66 per cent to 60 per cent.
Sjögren pointed out that despite this year's falls, Sweden's population still had a comparatively high trust in the country's public broadcasters.
"They are in the top five in all years we have measured, so they are still very trustworthy in public opinion," he said.
The police, health care services and the Church of Sweden have also lost public trust over the last year. Gainers included the Sweden's trade unions, and the centre-right Centre Party.
The Media Academy, or Medieakademin, has carried out the survey in partnership with Kantar Sifo since 1997.