That afternoon, the 45-year-old man fell ill at the same address in Amesbury and was also hospitalised.
Police suspect Rowley and Sturgess handled an item from the first attack, which Britain blames on Russian Federation.
The Skripal attack took place in the city of Salisbury, just a few kilometres away from the site of the Amesbury poisoning incident.
"This is shocking and tragic news", Neil Basu, Britain's most senior counter-terrorism officer, said in a statement.
Her death comes four months after the poisoning of.
They were believed to have become exposed to Novichok by handling a container, and a link to the Salisbury attack in March is a main line of investigation.
Britain and its allies accused Russian Federation of trying to kill the Skripals, prompting angry denials and sparking an worldwide diplomatic crisis.
Russia, which is now hosting the soccer World Cup, has denied any involvement in the Skripal case and suggested the British security services had carried out the attack to stoke anti-Moscow hysteria.
Prime Minister Theresa May said police were still hard at work investigating the source of the nerve agent.
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The Skripal case, which Metropolitan Police detectives are investigating as attempted murder, sparked a diplomatic crisis between Russian Federation and the West, including the expulsion of hundreds of diplomats from both sides. Skripal was discharged from the hospital in May and his daughter was released in April.
Sturgess died at Salisbury District Hospital, the same facility that nursed the critically ill Skripals.
"Police and security officials are working urgently to establish the facts of this incident, which is now being investigated as a murder", she said.
"We are not in a position to say whether the nerve agent was from the same batch that the Skripals were exposed to", they said.
A British woman poisoned by exposure to the nerve agent Novichok has died, according to reports. "Understandably, this is likely to raise the level of concern in Amesbury and Salisbury".
But he said health authorities continued to assert the risk to the public was low.
Police said Ms Sturgess' family had been notified and were receiving support.
The two Britons had been taken ill last Saturday.
John Glen, the Conservative Party legislator for the region, said the new poisoning has threatened an economic rebound from the slowdown caused by the attack on the Skripals.
"Today is the day we hoped would never come", said Wiltshire Police Chief Constable Kier Pritchard.