"Officers responded quickly to all incidents and a number of people have now been arrested on suspicion of criminal damage," the force tweeted.
A Just Stop Oil spokesperson said: "We are not prepared to stand by and watch while everything we love is destroyed, while vulnerable people go hungry and fossil fuel companies and the rich profit from our misery.
"The era of fossil fuels should be long gone, but the creeping tentacles of fossil fuel interests continue to corrupt our politics, government and the media, as they have for decades.