He died at lunchtime on Sunday, his son told BBC News.
Lord Attenborough was one of Britain’s leading actors, before becoming a highly successful director.
In a career that spanned six decades, he appeared in films including Brighton Rock, World War Two prisoner of war thriller The Great Escape and later in dinosaur blockbuster Jurassic Park.
As a director he was perhaps best known for Gandhi, which won two Oscars.
Lord Attenborough had been in a nursing home with his wife for a number of years, BBC arts editor Will Gompertz said.
He had also been in a wheelchair since falling down stairs 6 years ago, our correspondent added.
His family is expected to make a full statement tomorrow.
RIP Richard Attenborough.
"Welcome to Jurassic Park."
Here are things I find interesting or funny, things that matter to me; my friends and family - basically, my life. Welcome to Wonderland.
I’m sorry, babe, but there’s some things I have to say. I’ve only got a few moments left.
I’m sorry for all the things I’ll never give you. I’ll never buy you another meatball sub with extra sauce — that was a big one! I’ll never make you smile. I just wanted us to be old together, just two old farts laughin’ at each other as our bodies fell apart, together at the end by that lake in your painting. That was our Heaven, see? There’s lots of things to miss: books, naps, kisses, and fights! God, we had some great ones.
Thank you for those. Thank you for every kindness. Thank you for our children. For the first time I saw them. Thank you for being someone I was always proud to be with. For your guts. For your sweetness. For how you always looked, for how I always wanted to touch you. You were my life.
I apologize for every time I failed you.
Especially this one.
“It's a dangerous business, Frodo, going out your door. You step onto the road, and if you don't keep your feet, there's no knowing where you might be swept off to.”
My dearest Pond,
What words can I say that I haven’t already said? In many ways words are no different from time; time passes, time can be re-written, and sometimes, just sometimes, there just isn’t enough time at all. Time doesn’t make sense, and neither do words, but even less so are feelings and emotions. They make the least sense of all.
Sometimes I catch myself just sitting there, I could be doing anything - even having a conversation with someone - but all I’m doing is sitting there thinking of you. Or I’ll be on my laptop writing and then before I know it I’m looking at a picture of you. My thoughts and feelings for you feel as if they’re spiralling through the swirling vortex without a TARDIS to guide them.
I would stand by you and follow you from the crimson grasslands of Gallifrey to the scarred earth of Trenzalore, across every reality and all of time. Without you I am alone at the end of space and time, with no hope or light or anything but loneliness as a companion.
I might not have 13 regenerations, and I cannot wait 2,000 years to have you again, though I’m glad I’m not a Timelord, because I don’t think I’d be able to handle two broken hearts.
Yours, no matter what or the situation,
Your last Centurion.
A Doctor Who love letter. (via geek-extraordinaire)
Its funny looking back at things and realising you still feel the same way.
I’m The Doctor and I’m afraid.
You make everything better.