Police and partner agencies are continuing their response to the current extreme weather as icy conditions prevail across the two counties.
The retrieval of cars on the A3 continues, and work is also underway to restore electricity to around 500 homes in the north and east of Hampshire, which lost power during the worst of the weather.
Households affected are in the Waterlooville area, and the same number across Petersfield, Harting, Griggs Green, Longmoor, Butser and East Meon.
Southern and Scottish Power engineers have been working constantly to restore supplies, although are hampered in some areas by icy roads and treacherous conditions.
They are doing everything possible to restore power by tonight, including bringing in extra personnel from Scotland in order to increase their capacity to recover supply.
Hampshire County Council is working with police and the power company to identify vulnerable people in those areas affected by the power outage, in order to provide assistance including helping them find alternative accommodation if that is required.
This includes nursing homes and day centres and others who are not self-reliant.
Five teams of police and Hampshire and Fire and Rescue officers are patrolling the Bordon and Petersfield area in 4x4 vehicles and visiting households to provide assistance and identify any problems.
With the temperatures expected to stay below freezing tonight and continue over the next few days, the local authorities highway departments and Highways Agency will continue to grit and salt key transport routes and primary roads.
All emergency services, although experiencing a higher than normal volume of calls, are maintaining service provision to the communities.
Many of the cars stranded on the A3 have been removed to a safe lay-by at Butser, where owners are being directed to collect as soon as practicable.
Superintendent Barry Talbot, from Hampshire Constabulary, said: “From the low volume of traffic on the roads and low numbers of road traffic collisions, it would seem that people are listening to the advice to keep journeys to a minimum, which is very encouraging.
“With the icy conditions and extremely cold weather predicted to continue, it is important that we all look out for each other, particularly the elderly and vulnerable members of our community.
“Please do make an effort to check on your neighbours’ welfare. Make sure they are safe and well. I’m sure that many people are already doing this in any case.
“But it may just be a simple matter of knocking on an elderly neighbour’s door and checking they are safe and warm. If you are not able to help yourself or feel someone’s life is at risk, call the police by dialling 101. Preservation of life remains our top priority.”