Overall, 295 universities, colleges and alternative education providers took part, with 26 per cent (59 institutions) gaining a gold award, 50 per cent (116) rated silver and 24 per cent (56) achieving bronze.
It was one of just two institutions in Yorkshire to achieve the highest award in the first major assessment of teaching standards, joining Huddersfield at the top of the region's table.
Sally Hunt, general secretary of the University and College Union, said: "The Teaching Excellence Framework is opposed by both staff and student organisations and these results will have little credibility within higher education itself".
Lincoln's two universities are among only 26% of higher education providers from across the whole of the United Kingdom to be awarded a "Gold" rating.
"We welcome the comments about the outstanding support we offer students from all backgrounds, which resonates with our ambitions to create independent, critical thinkers who are determined to make their mark on the world".
The Teaching Excellence Framework (TEF) attempts to measure a number of areas relevant to undergraduate education, including Teaching Quality, Learning Environment, Student Outcomes and Learning Gain.
He said: "The Gold rating is a fantastic achievement for RGU and I am thrilled that the university's approach to engaging students as partners in the development of the learning experience has been recognised".
The University has a proud history of delivering high quality teaching and excellent outcomes. These figures exclude institutions that received a provisional award because there was not enough data for a full assessment.
And an analysis shows that among the 21 Russell Group universities that took part, eight (38%) were given a gold rating, 10 (48%) were awarded silver and three (14%) got a bronze.
Some have also said that they have been forced to participate because the Government is set to allow only those rated bronze or higher to raise tuition fees in line with inflation from 2018. "The TEF measures excellence over and above this bar". "But the TEF judges excellence above and beyond this, showing the highest levels across the sector".
The acting director of the Russell Group of premier universities Dr Tim Bradshaw said: "This is a trial year".
"We aim to improve further with particular attention to helping our students into highly skilled graduate employment".
Professor John Last, vice-chancellor of Norwich University of the Arts.