The golfer divorced Elin Nordegren in August last year, after the 35-year-old was accused of having numerous affairs during their relationship.
Woods, who has 3-year-old daughter Sam and 2-year-old son Charlie with the Swedish model, admitted that he finds parenthood "tough but enjoyable".
He said on Good Morning America: "I'm present with my kids. And that's important... each and every time I'm with them, to feel that and be connected to them and to see the joy on their faces, whether it's Sam dancing and creating things and colouring and rearranging furniture and all that stuff.
"It's work, there's no doubt. It's work. It's tough but enjoyable."
Woods insisted that his priorities have altered since his scandals were made public.
When asked how his life has changed, he replied: "Just came back to what's most important, went to family.
"And that's as simple as that, family is first. And that's what it was when I was growing up. My family, my mum and dad were always there, and they were always present for me. And that's how I am with my kids now."
Woods also admitted that he hopes to reclaim his status as the number one golfer in the world.
He added: "I've been down this road before. I mean, that's what people don't understand.
"And I know what I'm working on, I believe what I'm working on, and when it starts getting going, we're going to have some fun."