Two incidents were in store car parks and one on an industrial estate, and all involved drivers racing in the snow and performing dangerous manouevres.
Lincolnshire Police says its officers attended reports of dangerous driving in the car parks of Lidl and Tesco in Wyberton Fen and on the Marsh Lane Industrial.
The incidents were all reported between 5pm and 6pm on Sunday.
Inspector Fran Harrod said: “We would like to thank the public for bringing these incidents of dangerous driving to our attention.
“The dangerous driving involved the drivers carrying out ‘donut’ manoeuvres and racing in these car parks in the snow.
“This is not only extremely dangerous to those taking part but to others in these areas. While we continue to engage and explain with the public, this was a blatant breach of the restrictions which will not be tolerated.
“As well as issuing 10 Covid fines, one person also received a Covid warning, and two cars were seized as uninsured, with drivers reported.
“A traffic offence report was also submitted for one driver being dangerously out of control. This is not the first time we have had reports of such behaviour in lockdown, and we are making it an area priority to tackle not just the Covid breaches, but also the associated antisocial behaviour and danger caused to those participating and members of the public.”
All 10 people were issue with £200 fines for breaking lockdown guidelines. All were first time offenders and received a £200 fine, but it will be reduced to £100 if the fine is paid within 14 days.