Rejcov Grič was separated from Čekovnik and made a settlement in its own right in 2006.
Name
The name Rejcov Grič literally means 'Rejc's hill' and refers to Rejc Hill, which risesnorthwest of the hamlet of Rejc. The newly founded settlement was initially officially named Rejcov grič in Slovene. However, this was declared an orthographic error a month later, and the official Slovene spelling was changed to Rejcov Grič.