The crash occurred just after 6.30 am, and caused a major disruption for motorists during rush hour.
The traffic accident affected traffic between junction 28 with the A38 on Alfreton Road to J29 on the A617 at Chesterfield / Mansfield.
Chilling images show the front of one of the destroyed trucks.
However, police said no one was seriously injured.
The Derbyshire Roads Police Unit wrote on Twitter: "M1 North heading J28 to J29. Significant delays as only one lane in operation due to a collision.
"There are no serious injuries. @EMASNHSTrust @DerbyshireFRS @HighwaysEMIDS also attended. Recovery en route. # Roads #traffic #travels
Three out of four lanes were closed to allow the emergency services first to carry out an investigation and then for the cleanup operation.
This caused paralyzing delays for drivers, who remained trapped in lines up to ten miles on top of the chaos, wrote the Inrix traffic network site.
At 7.37 am, one hour after the traffic accident, drivers who used the Waze travel app spoke of a "traffic jam" on the M1 heading north.
And the traffic was also piled up in the southbound transport, since people were "slowing down to see the accident",
After the accident, police officers, the fire service and an ambulance came to the place.
A spokesman for the East Midlands Ambulance Service said: "We received a call at 6.33 am on October 23 from the M1 Northbound near Tibshelf Services.
"The caller reported that there had been a traffic collision between two trucks.
"We sent a paramedic in an ambulance car and a manned ambulance."
Travel time was maintained in 50 to 60 minutes for more than three hours.
All lanes were reopened on the M1 northbound only at 9:37 am, when traffic was still queuing for six miles.
The situation returned to normal only one hour later, after 10.30 in the morning, he wrote Derbyshire Live.
The motorists in the M1 already have to face an interruption of the road due to the works planned in the A52.
This project forced the highway police to issue a temporary speed limit of 40 mph in both directions between Derby and the junction of the M1 and Long Eaton.