The news of the James Bond star's wedding with Weisz last month surprised everyone.
"It's not about safeguarding, I don't want to safeguard my personal life. I just don't want to talk about it and after all you really can't stop the paparazzi from knowing what they want to, can you?" Craig, 43, told in an interview.
In his almost two-decade long career, the English actor has done films like "Elizabeth", "The Power of One" and "A Kid in King Arthur's Court" before taking up the Bond franchise.
"I like working on all genres, but personally I am a huge fan of the action genre," he said.
He has done two Bond movies so far - "Quantum of Solace" and "Casino Royale". He is about to start working on the new Bond movie titled "Bond 23", to be directed by Sam Mendes, but is not comfortable revealing the details.
"It is too early to talk about it but, yes, my next Bond movie is 'Bond 23' and the script is in really good shape. I'm sure there will still be changes...but if we shot the script we have at the moment, we'd be in a good way. I'm very excited about it and I'm delighted that Sam is going to direct it."
His new film "Cowboys and Aliens" hits the Indian screens Friday.
Set in the Arizona of 1873, the film is about a loner named Jake Lonergan (Daniel Craig) who awakens with no memory of his past and a mysterious shackle around his wrist.
"I play the stranger who stumbles into the hard-bitten town of absolution wearing a metallic shackle on one wrist. He has no idea where he got it from, doesn't know where he's been and he can't even remember his own name - the series of events unfolds thereon," he said.
For the first time Harrison Ford of "Indiana Jones" and Daniel Craig have worked together for the film by Jon Favreau.
Craig praised his co-star and said: "Harrison was great and it was a privilege to work with him. He's a really nice, generous, funny man and he's an actor and just wants to get it right."
He is one of those foreign actors who is familiar with Indian filmmakers thanks to his collaboration with internationally acclaimed Indian director Shekhar Kapur - the two worked together in "Elizabeth".
He feels the prospects of Indian cinema on the global platform are quite bright.
"I feel that the prospects of Indian cinema are very high. The cinema over there is very rich. I had a great experience working with Shekhar Kapur."