The Wales international is delighted with the way his campaign has gone, but feels he is still learning his new role in the team and that there is more to come from him.
Journalists voted for him to win the Football Writers' Association Footballer of the Year, and his fellow peers chose him to be PFA Player of the Year and Young Player of the Year.
After starting life as a fullback, the move to an advanced role has paid dividends this season, with Bale hitting the back of the net 25 times in all competitions, but he says the best is yet to come.
"Hopefully there is a lot more [to come]," the 23-year-old told reporters. "I have only just started in my new free role in the middle, so there is still a lot to learn in that position for me. I still need to kind of figure out a few things - which is important.
"As I say to myself every season, I want to improve again, there are still things I need to improve, there are things which need working on in more areas than others, and I can do that."
Bale was voted ahead of Manchester United striker Robin van Persie, who has impressed in his first season at Old Trafford, and he is delighted to be among the big names who have won it previously.
He continued: "When you look at all of the past winners, the legends of the game, this is a massive honor, and to be on the list with them now is a massive privilege.
"You always dream of things like this, whether they come true or not is another matter, but now that it has, it is a massive achievement for me, but one I could have not done without my team or my manager.
"The team has been fantastic this season and we have played some very good stuff, it is always easier to play in a really good team."