Alicia Silverstone's Bear Blu

Alicia Silverstone has named her new baby Bear Blu.

The Clueless actress and her husband Christopher Jarecki, 40, welcomed their first child into the world on May 5, weighing in at 7lbs 15oz.

The star runs a blog called The Kind Life blog and in her latest post writes,

"My husband and I welcomed our 7 lb 15 oz baby boy Bear Blu Jarecki into the world on May 5th at 7:50am (PT). We are all three in love! I'm so grateful to this community for all the love, support, good wishes and happy vibes you've sent me during my has been wonderful. Thank you all!"