So , according to Sir Stephen William Hawking , NOTHING existed before Big Bang , as many of you may have seen in the interview of Sir Stephen Hawking (if not I had put a link below , just check it) .
But if we think deeply for a while, if our universe has started witha Singularity (Big Bang),according to Big Bang Theory , and is going to end at a Singularity (Big Crunch) , according to Big Crunch Theory , so it can also happen that another universe had existed before the Big Bang which had collapsed into a singularity and then exploded and then everything came into existence, which WE now call as Big Bang .
It appears like a cycle in which a universe exploded from a singularity and then it will collapse into a singularity and singularity will again explode and another universe will come into existence .