One person died at Calderdale and Huddersfield NHS Foundation Trust and one person died at Hull University Teaching Hospitals NHS Trust.
They both died yesterday (Sunday, August 9).
It brings the total number of deaths across Yorkshire to 2,907.
Four other people who tested positive for coronavirus have died in hospital elsewhere in England.
It brings the total number of confirmed reported deaths in hospitals to 29,419, NHS England said on Monday.
The patients were aged between 65 and 93 and all had known underlying health conditions.
A total of 337 people have died after testing positive at Leeds hospitals.
A message from the Editor:
Leeds has a fantastic story to tell - and the Yorkshire Evening Post has been rooted firmly at the heart of telling the stories of our city since 1890. We believe in ourselves and hope you believe in us too. We need your support to help ensure we can continue to be at the heart of life in Leeds.
Subscribe to our website and enjoy unlimited access to local news and information online and on our app. With a digital subscription, you can read more than 5 articles, see fewer ads, enjoy faster load times, and get access to exclusive newsletters and content. Click here to subscribe. For more details on our newspaper subscription offers click here.