The two patients were in the care of Bradford Teaching Hospitals NHS Foundation Trust.
The death toll in Yorkshire from the virus now stands at 2,962.
A total of 344 people have died from coronavirus in Leeds - the highest figure in the region.
NHS England publishes the number of patients who have died in hospital and tested positive for COVID-19 in England.
Since Tuesday, April 28 NHS England and NHS Improvement also reports the number of patient deaths where there has been no COVID-19 positive test result, but where COVID-19 is documented as a direct or underlying cause of death on part 1 or part 2 of the death certification process.