The 53-year-old actor, who is best known for his role as Dr Mark Sloan in Grey's Anatomy, died on Thursday, and a day later, his friends launched a fundraising campaign for his children Billie, 15, and Georgia, 14.
Dane died just 10 months after he publicly shared his diagnosis of amyotrophic lateral sclerosis (ALS) - a progressive neurodegenerative disease that attacks nerve cells and causes loss of muscle control.
A message on GoFundMe says: "It is with profound sadness that we share the loss of Eric Dane after a hard-fought battle with ALS, leaving behind his devoted wife, Rebecca, and his two teenage daughters, Billie and Georgia, who were the centre of his world.
"Following his diagnosis, Eric became a passionate spokesperson for the ALS community, using his voice and platform to advocate for fellow patients and to push for greater awareness.Â
"As his illness progressed far more quickly than anyone could have imagined, Eric's friends have come together to create this GoFundMe to support his girls and their future needs."
Dane's friends put an initial target of $US250,000 ($A354,000) and raised almost half of the total in just a few hours.
Dane used his final interview, which was aired after his death, to share a special message to his daughters.
Speaking on the Netflix special Famous Last Words, which he recorded in November, he said: "Billie and Georgia, these words are for you. I tried. I stumbled sometimes, but I tried. Overall we had a blast, didn't we?"
Dane, who shared his daughters with estranged wife Rebecca Gayheart, told them "four things I've learned from this disease", including living in the present, the importance of falling in love - with a person and with a passion project, finding good friends, and fighting with dignity.
"I hope I've demonstrated that you can face anything, you can face the end of your days, you can face hell with dignity. Fight, girls, and hold your heads high. Billie and Georgia, you are my heart. You are my everything. Good night. I love you. Those are my last words."
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