According to the AA, the first crash was reported shortly after 6am.
Derbyshire Roads Policing Unit said nobody had been injured during the accidents.
Tweeting pictures from the scene this morning, the unit said: “A61 Dronfield bypass. Don't put away your hats and scarves just yet. Snow/ice this morning leading to 3 separate crashes on this road. No injuries.”
When asked whether it was the snow and ice that led to the crashes, they added: “Of course it was the drivers not driving appropriately to the conditions. The snow/ice is a contributory factor as had it not been there, it's unlikely the crashes would have occurred.”
The crashes sparked a lane closure between the B6057 Broombank Road to B6057 Sheffield Road (Bowshaw Roundabout), with reports of congestion on routes around Dronfield and Unstone as motorists avoided the delays.
Witnesses reported that traffic was at a stand still for an hour earlier this morning as a result of the accidents.