He wrote a condolence letter to Abbas Khan's mother Fatima on Friday, describing her son's death as an "appalling tragedy".
The letter reads: "Abbas' death is a sickening and appalling tragedy and it is right that the Syrian regime should answer for it.
"Their despicable treatment of him and refusal to engage with us or the Czechs to enable us to support him is utterly unacceptable. We will continue to press for those responsible to be held to account."
The father of two from south London was found dead in his cell just days before the Syrian government had said he would be freed.
Also Read
Khan's family insist he was murdered while the Syrian authorities claim he took his own life.
He had been arrested in Syria 48 hours after arriving in the country for humanitarian work last November. His body had been transferred from Syria to neighbouring Lebanon yesterday where his mother Fatima and brother Afroze received it.
A Metropolitan Police spokesperson said its Counter Terrorism Command was providing family liaison support and would "seek to assist the coroner when appropriate".
Khan went to Syria last year to work in a field hospital in a rebel-controlled area.
The doctor who worked at the Royal National Orthopaedic Hospital (RNOH) in north-west London had entered Syria without a visa after bring moved by the plight of refugees and worked in camps in Turkey, his family said.
His distraught mother, however, blames herself.
"I killed my son," Fatima Khan said sadly last week, as she sat in a hotel room in Beirut.
"My children kept saying to me, 'Leave it alone', but I wouldn't listen. The trouble is, I made him seem more important than he was. (The Syrian regime) knew what he had seen and heard, so they could not let him out alive. I ruined everything. That's why he's dead. All I want to do now is lie in the same grave as my son," she added.