A second known patient has died at a hospital in Sheffield, the Sheffield Teaching Hospital NHS Foundation Trust confirmed.
A statement from NHS England said: "A further 29 people who tested positive for the coronavirus (Covid-19) have died, bringing the total number of confirmed reported deaths in England to 128.
"Patients were aged between 47 and 96 years old and had underlying health conditions.
"Their families have been informed."
The total number of people to have died after testing positive for coronavirus in the UK now stands at 137.
The patients died in hospitals run by the following NHS Trusts:
London North West University Healthcare NHS Trust - 2
King's College Hospital NHS Foundation Trust - 1
Barts Health NHS Trust - 2
North Middlesex University Hospital NHS Trust - 2
Lewisham and Greenwich NHS Trust - 3
Homerton University Hospital Foundation Trust - 1
Barking Havering and Redbridge University Hospital NHS Trust- 4
Epsom and St Helier NHS Trust - 2
Croydon Health NHS Trust - 1
The Dudley Group NHS Foundation Trust - 2
University Hospitals Birmingham NHS Foundation Trust- 1
Royal Wolverhampton NHS Trust - 3
Sheffield Teaching Hospital NHS Foundation Trust- 1
Northumbria Healthcare NHS Foundation Trust - 1
Sandwell and West Birmingham NHS Trust - 2
Oxford University Hospitals NHS Foundation Trust - 1