Suban has signed a three-year extension to remain at the club until the end of the 2017 season, while Griffin has added a one-year extension to be contracted until the end of 2015.
Suban played 22 games in 2013 including the Grand Final. The 23-year-old believes it was one of his best seasons at AFL level.
"It was probably the most consistent year that I’ve had," Suban said in a club statement.
"I thought it just boiled down to having a full pre-season.
“I’m really looking forward to working hard and trying to get back into the team again with another solid pre-season.
"It’s a great feeling, everyone’s excited to be around here and it’s a great place with a great culture, a winning culture."
Griffin ruptured his ACL in round seven against Collingwood and missed the rest of the 2013 season.
It was a cruel blow for the 27-year-old who played some of the best football of his 68-game career in the first six rounds.
The former Adelaide Crow hopes to bounce back stronger than ever in 2014.
"It was a dream come true to be able to play for Fremantle," Griffin said in a club statement.
"Rehab is going really well and I am ticking all the boxes to make sure my body is 100 per cent.
"I’m pushing for round one, I have all the support of the physios and strength and conditioning coaches. I just can’t wait to get out there and play for Freo again."