Russia's ambassador to London on Friday welcomed Skripal's progress but reiterated Russia's desire to see the pair, saying that now Britain was not fulfilling its obligations under global law.
Alexander Yakovenko said the pair were "isolated", adding: "You can call it kidnap".
Former Russian spy Sergei Skripal, who Britain says was poisoned with a nerve agent more than two months ago, triggering a diplomatic crisis with Russia, has been discharged from hospital.
Yulia Skripal, his daughter, was discharged from the same hospital in April.
"Sergei Skripal has been discharged from Salisbury District Hospital".
"That he (Sergei), Yulia and Detective Sergeant Bailey have been able to leave us so soon after coming into contact with this nerve agent is thanks to the hard work, skill and professionalism of our clinicians, who provide outstanding care to all our patients, day in and day out", she said.
Supporting Britain, NATO and the European Union have both condemned the attack.
Lorna Wilkinson, director of nursing at the hospital, said that treating the Skripals has been a "huge and unprecedented challenge".
Britain and global chemicals weapons inspectors say the Skripals were poisoned with Novichok, a deadly group of nerve agents developed by the Soviet military in the 1970s and 1980s.
The UK government has blamed the poisoning on Russian Federation.
Meanwhile, Britain's Metropolitan Police said that the investigation into the incident was ongoing.
The Skripals were in a critical condition for weeks and doctors at one point feared that, even if they survived, they might have suffered brain damage.
"This is a complex investigation and detectives continue to gather and piece together all the evidence to establish the full facts and circumstances behind this awful attack", it said in a statement.
"In the interests of Sergei and Yulia's safety, we will not be discussing any protective or security arrangements that are in place".
Skripal is a retired military officer formerly of the Russian GRU, or military intelligence.
"Mr. Skripal and his daughter, Yulia Skripal, were admitted to the hospital along with DS [police officer] Nick Bailey after having been exposed to a nerve agent on 4 March 2018".
But Russia freed him in 2010 and sent him to Britain as part of a spy swap for 10 Russian agents who had been arrested in the United States.