Michael Douglas' Son Cameron Is in Good Spirits as He Holds Daughter Lua in a New Photo

Cameron Douglas posted a photo of himself and his daughter on social media, and he was gushing with happiness.

The son of Michael Douglas took to Instagram recently to share a photograph of himself and his daughter Lua Izzy.

"Thank you [The New York Times] for taking a keen interest in my journey and for helping me to share it with all of you in the hopes that someone finds it helpful. If we don't give up there is always a chance!" he wrote.

"Hopefully she will see her father has accomplished a lot and is doing good things and maybe she'll be proud of my journey."

In the sweet snap, Cameron is seen holding his 1-year-old daughter with long-time girlfriend, Viviane Thibes, a yoga instructor.

As reported by Daily Mail, Cameron and Viviane named their little girl Lua Izzy to pay tribute to great-grandfather Kirk Douglas, who was born Issur Danielovitch and later went by Izzy.

In a candid interview, Cameron expressed joy in having the option to be by his new family's side.

"Since Viviane has given birth to a beautiful healthy girl on Monday afternoon, I've been at their side ever since. I'm very happy," he told PEOPLE.

The couple welcomed their first child together on December 18, 2017. After the birth, Cameron took to Instagram to share his emotions.

"Today my appreciation for [mothers] all over the world has reached new heights …" he captioned a photo of Viviane in a yoga pose.

He added, "Today I took part in a miracle as my baby girl was introduced to the world through a beautiful Amazon warrior. I'm so proud of you [Viviane]."

Cameron, who has been arrested for drug offenses at least three times, was released early from prison in August 2016 following seven years in jail.

"Having my daughter gives me a whole new perspective on life," he told PEOPLE. "My daughter is a source of inspiration."

"Hopefully she will see her father has accomplished a lot and is doing good things and maybe she'll be proud of my journey," he added.

On his list of newly discovered priorities is helping addicts before they go down the same dark road that described his life for about two decades.

Fox News reported that Cameron had written a memoir titled "Long Way Home," which reveals his personal struggles and recovery.