New footage shows a missing couple and their newborn baby heading towards the Sussex countryside.

Constance Marten, her partner Mark Gordon, 48 - a convicted sex offender - and their four-week-old baby have been missing for the last month.

The new photograph captured by CCTV and released by the Met Police shows the pair on the run in Newhaven. 

The trio were dropped off in a taxi at 4.56am on Sunday, 8 January just outside the entrance to the Newhaven Ferry. 

They then walked to where the A259 crosses over the B2109.

They were seen sheltering from the rain, under the overpass, at about 6am.

At around 6.15am on Sunday, January 8, they walked along Cantercrow Hill into the fields beyond as the latest CCTV pictures show.

The road is a dead end but leads onto paths up into the South Downs.

They were carrying a number of bags and their blue tent, and officers believe they have been camping in the area subsequently, although given the time that’s passed they could have moved on some considerable distance.

The family have been missing since their car broke down and burst into flames on the M61 on January 5. 

CCTV images show Constance and Mark moments after dumping their newborn baby's pram in Newhaven. Constance was also caught on CCTV moments before the pram was dumped. 

The Argus: Mark Gordon and Constance Marten have been missing for the las monthMark Gordon and Constance Marten have been missing for the las month (Image: Met Police)

The Met Police believes the couple and the baby are camping in the Sussex countryside. 

“Previous appeals have resulted in around 300 calls from members of the public, but sadly they have not led to the couple and their baby being found," said Detective Superintendent Lewis Basford of the Met’s East Area Command.

“While we are very grateful to everyone who has already called, we still need to hear from anyone who has seen the couple since Sunday, 8 January and we are offering a reward of up to £10,000 for any information that leads to the family being found.

“I am appealing in particular to people who may have spent time in the countryside near Newhaven and elsewhere in Sussex to think carefully as to whether they may have seen Constance and Mark over the past four weeks. Given the time that's passed they may have travelled on, so I also need to hear from anyone who may have seen them further afield."

As Ms Marten gave birth only a day or two before she went missing without medical assistance and is believed to have been sleeping rough since, police said that finding the baby "remains our top priority".