Jessica Alba and hubby Cash Warren took their three-month baby daughter Honor Marie on her first flight – but they were dreading she would cry and annoy all the other passengers.

The Fantastic Four star and film producer Cash boarded a plane from Los Angeles to Denver, Colorado last week to attend the Democratic National Convention.

But they need not have worried about the noise as newborn Honor was a very quiet little baby.

The father writes on his blog, "It's always nerve-wracking for new parents to fly with their child because you never know if you're going to ruin everyone else's flight with a screaming baby.”

"We sit down and cross our fingers that she will sleep. She does... Nothing really exciting happened on the flight."

But daddy Cash admits their firstborn has always been a well behaved tot.

He says, "To date, Honor has been a great baby. Rarely crying. Opting to express herself through simple Haiku's or interpretive dance instead... yeah right!"

Jessica looked thinner than ever leaving the Cedars-Sinai Medical Center after a routine check-up: