Vandals broke windows and tore shed doors from their hinges at allotments on Sunday night (March 16).
Around five plots were targeted in the attacks at Biggleswade Allotments in Kennel Farm Road.
Allotment holders arrived at the site on Monday to find a trail of destruction at the plots.
A number of tools were also stolen from one of the sheds.
Sara Newman – who has grown vegetables at an allotment on the site for five years – was shocked when she saw the extent of the damage.
She said: “When the weather is warm you will often see teenagers coming down, lighting fires and drinking.
“But this is something on a different scale and shows a complete lack of respect for the people who have allotments here.”
Tools that were being stored in the sheds were also used to cause some of the damage.
Sara added: “You can clearly see marks from a pitch fork on the door of a shed that was targeted.
“In that case the wood was strong and thick enough not to cave in, but with some of the others the doors themselves have been smashed up and then torn off.”
The Biggleswade Allotment Group has spoken to Beds Police and Biggleswade Town Council about security at the site, but is concerned that there is a limit to what can be done.
Sara said: “We are trying to increase security here but it is difficult as we can’t have people keeping watch over the site 24 hours a day.
“It’s difficult to stop people if they are determined to cause damage.”
Anyone with any information should contact Beds Police on the non-emergency number, 101.
Alternatively contact Crimestoppers anonymously on 0800 555 111.