The wanted man, identified as 54-year-old Jonathan Baker, remains at large.
A man and woman were injured in the attack in the Chippendale Avenue area of Bangor on Wednesday.
The man has been named as 54-year-old Jonathan Baker.
Both were taken to hospital with serious injuries and have now been discharged.
Police are treating the incident as attempted murder.
The suspect, who was armed with a hammer and a knife, has been at large since, with the public being warned not to approach him.
Police investigating a report of a stabbing in the Chippendale Avenue area of Bangor have released an image of the suspect.
Today the PSNI released a further image of the man they wish to speak to.
Baker is pictured in the Coniston Road area at around 3.55pm on Christmas Eve.
Superintendent Lindsay Fisher said: “We are becoming increasingly concerned for his welfare and today I am appealing directly to Jonathan to make contact with police.
“We have conducted a number of searches at different properties and areas as we actively seek to locate him.
“Officers also remain in attendance at Chippendale Avenue, the scene of the stabbing.
“A man aged in his 20s and a woman aged in her 50s both received serious injuries and have been discharged following treatment.”
Superintendent Fisher continued: “We now believe that Jonathan was wearing a navy blue jacket with the brand name ‘Helly Hansen’ written on the back in white.
“He is described as being approximately 5ft 10 ins in height, with short, dark hair and wearing blue jeans, and dark trainers with white soles.
Emergency services at the scene in Bangor on December 24. Inset: Newly released image of Jonathan Baker.
News Catch Up – Friday 19 December
“Although we do not believe there is a serious risk to the wider community, we would continue to remind members of the public not to approach Jonathan if they see him, but to create a safe distance and contact police immediately on 101, or 999 in an emergency. The reference number to quote is 914 of 24/12/25.
Earlier this week a local councillor said there was a sense of fear in the community.
Independent Unionist Wesley Irvine, who lives near the scene, said the incident had changed the mood in the area at Christmas.
“It stokes a bit of fear among people and people are wary about rapping doors until such time as they can apprehend him,” he said.
“On Christmas Day there were a lot of people travelling from house to house to see family and friends and there is certainly some fear about.
“It certainly came as a big surprise, I live not far from Chippendale Avenue, it’s a quiet residential area of established family homes and people would be long established in the area.”
Mr Irvine added: “It certainly came as a big shock and not the sort of thing you would think would happen in that area.”