The name of the village literally translated meaning My Small Problem (Kis+baj+om).

According to László Szita the settlement was completely Hungarian in the 18th century.

At the end of the nineteenth century (1870) Kisbajom counted 957 people.

(source: Kisbajom falufelmérés, PMMF urbanisztika szak, 1993) Since 2010 the municipality, with assistance from European funds, has built a holiday house, camping facilities, a large old style oven, bought bikes and horse carriages.

These facilities are all localized around the old clergy house and partially inside a small open air museum, all in the middle of the village.