Having lost the toss and being asked to bat on a damp wicket, Bearsted had reached 191/4 in the 40th over before the rain arrived and the game was called off.
Bearsted had the experienced pair of Chris Filmer (50*) and Stephen Pearce (64*) to thank for getting to this score, supported by Dan Skinner (28) and Will Terry (24 from 4 lives).
Next week is an away trip to Speldhurst, who recorded a comfortable 8 wicket win in their visit to The Green earlier this season.