The allotment society is to write to Torbay Council, the landlord on the plot, to ask for remedial action to be taken urgently.
One tree, above plot 11, has already partially collapsed into the field above the allotment, and it is feared the other half could collapse at any time.
The June meeting of the allotment society heard that when the tree collapses it will damae crops and structures and could injure anyonbe nearby at the time.
The society has contacted the council by telephone but has not yet had a reply, so will make a written approach.
The council will be asked to make the tree safe and inspect all other trees at the site for safer