After captain Kane Williamson and Michael Bracewell, New Zealand batter Devon Conway has also tested positive for COVID-19, New Zealand Cricket said on Thursday.
"Conway undertook a PCR test on arrival in London on Wednesday evening in preparation for a team activity," New Zealand Cricket said in a statement.
The rest of the touring party have returned negative results and will continue following the tour health protocols of symptom reporting and subsequent testing if required. No replacements player are being sorted at this stage.
Earlier on Wednesday, NZC also confirmed that all-rounder Michael Bracewell tested positive for COVID-19 and is in isolation.
"He joins all-rounder Michael Bracewell and support staff personnel Vijay Vallabh (physio) and Chris Donaldson (strength & conditioning) as members of the tour party to have tested positive on Wednesday."
The three will travel separately from the team to Leeds on Sunday and providing they recover as expected will be able to join the team for training at Headingley on Tuesday, ahead of the third and final Test, which begins in Leeds on June 23.
There are speculations that Kiwi skipper Williamson will join the team for the Leeds Test as he has completed his isolation.
England have already sealed the three-match series 2-0 after winning the first two games in Lord's and Nottingham.
