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Dog the Bounty Hunter says the family's trying its best to celebrate the life of his wife ... but her death came unexpectedly, so they're hurting pretty bad right now.

Duane "Dog" Chapman spoke outside his Honolulu home Wednesday night about Beth's passing, saying it's a terrible time ... but he's feeling the love and support from millions around the world.

He also joked that on the bright side -- Beth would appreciate being famous in death ... getting to #1 trending on Twitter.

Dog got serious and emotional talking about her death, though ... revealing it came really fast and -- despite knowing the day would come as she battled cancer -- the family wasn't prepared for it.

He said ... "This cancer gig, of course, we gotta find a cure, because all we have now is some get lucky, but most pass away."

Chapman also cautioned any fans donating money to the family for Beth, telling them to save their cash because they're good on funds right now.

Dog then said he's still feeling Beth's presence ... and had some final words for her.

We broke the story ... Beth died Wednesday in a Honolulu hospital, days after being placed in a medically-induced coma. She had a years-long battle with cancer, which ultimately took her life.

She was 51. RIP.

Khloe Kardashian hit back against allegations she cheated with Tristan Thompson at the expense of his baby mama, Jordan Craig.

Khloe says she was reluctant to continue seeing Tristan when he confessed to a pregnant ex ... but believed him when he and his people told her he and his ex were done.

"He pleaded with me that the relationship was over before we met," Khloe says. She claims he showed her evidence ... and had her talking to his lawyer, mother and friends to convince her they were through.

"This is MY TRUTH," Khloe says, insisting she truly believed Tristan was single when they started dating ... and if he wasn't, she is "so completely and utterly sorry," but pins the blame on those who lied to her.

"I pray my truth is in fact that," she wrote. "Lord knows I pray but now, I really don't know what to believe."

Jordan Craig claimed in court documents obtained by Radar Online she found out Tristan was cheating just a month after discovering she was pregnant ... and said Tristan had denied even knowing Khloe before she saw them together in paparazzi pics.

Khloe, of course, would face a similar experience with Tristan on the heels of giving birth and after.