The killing of Dawn Sturgess, a mother of three, will increase pressure on President Putin after Sajid Javid, the home secretary, accused the Kremlin of using Britain as a dumping ground for poison.
Sturgess had been hospitalized after falling ill on June 30 along with 45-year-old Charlie Rowley.
Police said they were investigating how Sturgess and a 45-year-old man, named by media as Charlie Rowley, came across an item contaminated with Novichok, which was developed by the Soviet military during the Cold War.
"Further tests of samples from Dawn and the man showed that they were exposed to the nerve agent after touching a contaminated item with their hands".
British police say a woman who was exposed to a nerve agent in southern England has died.
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The Skripal attack took place in the city of Salisbury, just a few kilometres away from the site of the Amesbury poisoning incident.
"Dawn leaves behind her family, including three children, and our thoughts and prayers are with them at this extremely hard time", Assistant Commissioner Neil Basu, head of UK Counter Terrorism policing, said Sunday.
In a statement, the Met Police said the possibility the poisoning of the Skripals and Ms Sturgess and Mr Rowley are linked is a "clear line of inquiry".
Britain and its allies accused Russian Federation of trying to kill the Skripals, prompting angry denials and sparking an worldwide diplomatic crisis.
Dozens of detectives are working on the investigation, which is being led by the Counter Terrorism Policing Network, as well as officers from the Wiltshire Police Department.
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"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. "Police and security officials are working urgently to establish the facts of this incident, which is now being investigated as a murder".
The poisoning of the Skripals, both of whom spent weeks in hospital before being discharged, was blamed by the United Kingdom government on Russian Federation.
Sturgess died at Salisbury District Hospital, the same facility that nursed the critically ill Skripals.
A British woman poisoned by exposure to the nerve agent Novichok has died, according to reports.
Yulia Skripal, Sergei's daughter, was in a coma for 20 days after she was attacked and was eventually discharged about five weeks after the poisoning. "The sentiment in the city is frustration, we want to get back to normal".
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