The buses that were attacked were targetted with stones, and had their windows broken.
Police have confirmed that enquiries are ongoing to identify those responsible.
In a social media post from police in West Lothian, they aded: “ It goes without saying that this is incredibly dangerous for drivers, passengers and risks a serious accident.
“Some services in the Blackburn area have been temporarily withdrawn such is the concern, buses in the Blackridge area have also suffered attacks.
"The withdrawal of services has a significant impact on the local community who are relying on the buses.
“Please take time to speak to each other about this issue and hopefully as a community we can get it stopped as soon as possible.
"I have spoken to some of the drivers who are suffering considerable distress when just trying to do their jobs.”