British father Chris Bevington was one of four victims killed in a truck attack in Stockholm.
A statement from his father John Bevington said: "We are all devastated by the untimely and tragic death of our talented, compassionate and caring son Chris.
"A wonderful husband, son, father, brother and close friend to many. The family requests absolute privacy at this incredibly difficult time to mourn his passing in peace."
The three other victims were a Belgian and two Swedes, a police official said earlier.
Swedish police spokesman Jonas Hysing told a news conference the suspect was an asylum seeker who had sought and been denied permanent residency in the Nordic country and was wanted for deportation.
Police also confirmed he had expressed sympathies with extremist organisations including Isis.
"We know that he showed sympathies for extremist organisations, among them IS," Mr Hysing said.
The 39-year-old man from Uzbekistan was arrested hours after the massacre on suspicion of murder and terror offences.
Police earlier confirmed they found a suspicious object that "could be a bomb or an incendiary device" in the drivers' seat of the lorry and were analysing it.
The attacker hijacked a lorry belonging to the Swedish brewery Spendrups and used it to ram people in a pedestrianised street before crashing into the Ahlens department store.
The lorry was left partially embedded in the store after the attack, which killed four people and wounded 15 others.
Police have arrested a second person and a court has appointed the person a legal representative, a court official said.
She said lawyer Johan Akerman was the legal council appointed.
Police also said roughly five other people of interest to the investigation remained in custody.