The Chinese carrier has applied to the Civil Aviation Administration of China (CAAC) to serve new destinations in the UK and Ireland.
The application includes Changsha-London three times a week from March 2018; Beijing-Edinburgh -Dublin and Beijing-Dublin–Edinburgh twice weekly each from June; and Guangzhou-Manchester three times weekly from December,
The application comes less than two months after China and the UK signed a deal to boost the number of flights permitted between the two countries by 50% to 150 per week.
Hainan Airlines currently operates just one route to the UK; it started a Manchester-Beijing service in June 2016, which is claimed will be worth £250 million in economic benefits to the UK over the next decade.
A spokesperson for the airline refused to comment on the application.
While the new routes would help the UK market to China if they are implemented, they would also further grow the number of Chinese tourists visiting the UK, which continues to rise sharply.
Between January and June, 2017, 115,000 visits were made from China to the UK, a rise of 47% on the same period last year, while spending grew by 54% to £231 million.