Published Tuesday, 21 February 2012
Dr Paisley, 85, was taken into the Ulster Hospital for treatment on Sunday 5 February.
Speaking to UTV on Tuesday, Ian Paisley Jnr said:
"I'm delighted that dad is making progress, but he does continue to require prayers and encouragement.
"I'm just very, very pleased that we are much more content today than we were."
Lord Bannside's family remained at his bedside during his 12 day stay in the hospital's intensive care unit.
He has since been moved to the coronary care unit, which signifies a downgrade in the severity of his illness.
He’s much better than he was and he’s going the right way.
Ian Paisley Jnr
Mr Paisley said: said "Dad is making great progress and I'm very encouraged and my family is very encouraged.
"We ask people to continue with the support that they have given us.
"I want to express to people my extreme gratitude for their love and kindness at this time," he added.
Mr Paisley said his family was touched by the cross-community response to his father's illness.
"We're incredibly grateful for the kindness of many, many people from all around Northern Ireland, from all different communities who have written to us, texted us, phoned us, spoken to us, and told us that they are praying for us.
"That's really heartening and encouraging."
Dr Paisley became Northern Ireland's First Minister in 2007, when he was elected into office alongside Sinn Féin's Martin McGuinness.
He stepped down from political life in 2010 and preached his final sermon after standing down as moderator of the Free Presbyterian Church in December 2011.
© UTV News