Portuguese boss Mourinho was pictured training with Tanguy Ndombele on Hadley Common, while Davinson Sanchez and Ryan Sessegnon were seen running side by side in the same public park in north London.
Spurs full-back Serge Aurier also posted a video of himself jogging alongside another person on Instagram.
The Premier League has been suspended since mid-March due to the spread of COVID-19.
The outbreak has seen the British government introduce a strict series of measures which, while they allow individuals to go out for a walk or exercise once a day, state they must remain at least two metres apart unless they are with a member of the same household.
"All of our players have been reminded to respect social distancing when exercising outdoors," said a Tottenham spokesperson on Tuesday.
"We shall continue to reinforce this message."
Tottenham had already been criticised during the outbreak for applying to the British government's furlough financial assistance programme for company wage bills last week on the same day it was revealed Spurs chairman Daniel Levy was paid 7 million pound (USD 8.7 million) last season.
Although Levy is among the Spurs staff members taking a 20 percent pay cut, the north London club have come under pressure to follow European champions and Premier League leaders Liverpool in reversing their decision to use public money to pay employees. AFP SSCSSC