Both Bishop Grosseteste University and the University of Lincoln were awarded a "Gold" rating by a panel of independent experts in the Teaching Excellence Framework (TEF).
And he went on to say it was "important" the TEF recognised the relationships which had been established between the student body and the university.
CMI director of strategy Petra Wilton added: "Today's Teaching Excellence results signal the importance of higher-level skills to boosting UK's competitiveness, and the Government's commitment to driving up excellence in student outcomes".
Wrexham Glyndwr University has received a Silver award for the quality of its teaching in a prominent new academic ranking. "The TEF's medal ranking system will also now help businesses recruit the highly-skilled workforces they need - something which is vital if the economy is to prosper post-Brexit".
The TEF is a new government initiative created to encourage further the enhancement of quality in teaching and learning in Higher Education.
The University of Bedfordshire is leading in key aspects of the learning experience, with student satisfaction with assessment and feedback and with their personal development among the highest of all United Kingdom universities.
A breakdown shows that among 134 universities and specialist higher education institutions alone that were given ratings - which are valid for three years - 32% (43) scored gold, 50% (67) silver and 18% (24) got bronze.
But Coventry University, a newer institution which scored a gold, said the TEF showed that universities can not rely on their "historic reputation".
In order to be considered for a TEF rating, higher education providers have to meet demanding national quality requirements.
"It is important that the data used are appropriate, robust and take account of the considerable diversity within our university sector", she added.
Professor Quintin McKellar, vice-chancellor at the university, said: "I am delighted that the University has been awarded silver in the 2017 Teaching Excellence Framework". "If you look at what the TEF measures, it's exactly the kind of things that provoke questions from students and parents on open days - for instance, how will you support students to gain a rewarding job?"
Several of the UK's leading universities have received low ratings in a new ranking of degree teaching standards.
Sally Hunt, general secretary of the University and College Union (UCU), said the results have "little credibility within higher education".
The ancient universities of Oxford and Cambridge were given the gold rating.
"The fear is that students, beyond the United Kingdom in particular, will use these results as the basis for deciding which United Kingdom university to attend, which could damage some institutions".