Allotment holders are offering a cash reward to catch the culprits after three sheds were set alight in Potterhanworth.
Police are appealing for information on the incident which was reported at 6.40am on Monday September 14.
Three sheds were damaged by fire and a number of others broken into.
The allotment association is offering a cash reward for information leading to the arrest and conviction of those responsible.
Anyone with information should contact Lincolnshire Police by dialling 101 and quoting the incident number 21 of September 14. or you can report crimes anonymously by contacting Crimestoppers on 0800 555 111.