The 48-year-old, a firearms officer from Scotland Yard’s Parliamentary and Diplomatic Protection Command, was arrested at his home in Deal, Kent, on Tuesday night.
Ms Everard vanished on March 3 after setting off at about 9pm to walk from a friend’s house next to Clapham Common to her home in Brixton.
The Durham graduate was last captured on doorbell footage around 9.30pm walking past the Poynders Court estate next to the South Circular in Clapham.
On Friday, a body found hidden in woodland in Kent was identified as that of 33-year-old Sarah Everard.
Scotland Yard Commissioner Cressida Dick revealed on Wednesday that police had found human remains but it took two days to confirm they belonged to Ms Everard.
Ms Everard, who grew up in York, had recently begun a new job at Flipside Group, a digital media agency based in Holborn. Her uncle Nick described her as “a lovely level-headed young woman greatly loved by all in the family”.
On Thursday Prime Minister Boris Johnson said he was “shocked and deeply saddened” by Ms Everard’s disappearance. Home Secretary Priti Patel said “every woman should feel safe to walk our streets without fear of harassment or violence”.
A High Court judge said it would be “inappropriate” for him to intervene in the row between organisers and the Met Police, after organiserst too the Met Police