Hollywood star Bruce Willis and his second wife, designer and model Emma Heming, are expecting their first child together \"early next year\", Willis\' spokeswoman said on Wednesday. The couple are \"overjoyed with this news and they look forward to welcoming this newest addition into their family,\" the star\'s representative said in a statement confirming Heming\'s pregnancy. The baby, the couple\'s first child together, is due early in 2012. Willis, 56, married Heming, 35, in 2009. He has three daughters with his ex-wife, actress Demi Moore, the youngest of whom is 17 years old. Willis rose to fame in the 1980s on the hit television series \"Moonlighting,\" and went on to become a top box office star in such films as \"Pulp Fiction,\" \"The Sixth Sense\" and \"Armageddon,\" in addition to the \"Die Hard\" series.