The UK-wide Research Assessment Exercise judged that over half of the staff in Scottish HEIs are doing top-quality research and that nine departments in seven Scottish universities rank with the best in the world.
The results also show that Scotland remains strong in key economic areas of research such as electronic engineering, computer science and petroleum engineering.
Mr Robertson said: 'I would like to congratulate the nine departments which have achieved the top five rating in the RAE.
'I am also delighted that the RAE results have shown that Scotland's strength in research match some of our most important industries, such as electronic engineering, computer science and petroleum engineering. This is a very positive sign for our future competitiveness.
'The fact that the overall quality of academic research in Scotland has improved significantly from an already high starting position in 1992 is a tribute to all the thousands of academic staff who have been involved throughout the country. I would like to congratulate them all on their efforts.'