Bollywood celebrities and fans across the globe have been celebrating after Bollywood's' most famous couple Aishwarya Rai Bachchan and Abhishek Bachchan welcomed their 'beautiful' baby girl to the world on Wednesday morning.

The 37-year-old superstar actress and former Miss World gave birth to the couple's first child at the private Seven Hills Hospital in the western Mumbai suburb of Andheri.

Proud father, Abhishek headed to social networking site Twitter soon after the birth, to share the news with fans and tweeted: 'IT'S A GIRL.'

The baby's ecstatic grandfather and Bollywood lengend Amitabh also expressed his joy at the news by tweeting: 'I AM DADA (grandfather) to the cutest baby girl" A dada ji ...Ecstatic!'

Bollywood celebrities have been tweeting messages congratulating the couple who are deemed Bollywood royalty on their new arrival.

Actor Bipasha Basu tweeted : OMG! So excited Baby B is Daddy to a lil Angel! Congrats Ash n @juniorbachchan n to d entire family! Welcome sweet baby girl:)

Although the couple, who married in 2007, are yet to release pictures of their bundle of joy, it is already being assumed that she will inherit her mother striking good looks.

Politician and Indian actress Shobhaa De wrote: 'Little Miss World has arrived! Jai ho!Big B over the moon about Baby B. Someone sign up Ash as Ambassador for Girl Child, please? Worthy cause.'

The baby's famous mother, who has often been called 'queen of Bollywood' because of her exceptional beauty, first won the hearts of the nation at just 21 after winning Miss World in 1994.

She has since starred in many films and been the face of cosmetic giant Loreal and high-end Longines watches.

Let's take a look at what little Bachchan has to live up to...