The M3 is closed in both directions between junctions 9 and 11 at Winchester.
When will the M3 reopen?
Junctions nine and 11, near Winchester, on the M3 remain closed as cars continue to queue past junction 12, near Eastleigh.
The eastbound carriageway was opened at around 1.40pm.
Motorists stuck on the motorway had picnics, walked their dogs and changed nappies, but some were seen driving the wrong way down the hard shoulder, adding to the chaos.
Witnesses said half backs expanded a few miles and Southampton football club cautioned fans going to the Premier League apparatus against Manchester United to evade the zone.
Pictures posted onto social media by drivers show that some of the country roads near Winchester are now filling up with cars as the tailbacks from the motorway build up along nearby routes.
The 53-year-old, from Manchester, said: "People here are driving up the hard shoulder".
"We got the National Express at quarter past midnight to London and got the 8am bus to Southampton - it's 1pm now".
Thousands of motorists have been stranded on the M3 for several hours after police closed a section of the motorway in both directions and called in a bomb disposal team.
Hampshire Police said they were working with fire crews and the Ministry of Defence's Explosive Ordnance Disposal (EOD) to try to find out what the suspect package may be.
Nobody was hurt in the incident.
'We will endeavour to get the material cleared as soon as possible'.
Jenna Keating, 31, from Windsor, stated: "There are loads of individuals stranded here, individuals have out of their autos to extend their legs and things, however some are simply turning round and backpedaling down the hard shoulder".
"We're one of the lucky ones, we've only been here for 40 minutes although we've basically only crawled forward into space probably left by those who are trying to turn around".