The 32-year-old former Big Brother winner was seen preparing to take on the final challenge after losing her race earlier in the episode.
Davina McCall was forced to interrupt proceedings as the delay was pushing the show to run over the 9pm finish.
One viewer tweeted: "#TheJump Oooh Josie blanked with no goodbye.. sent home in disgrace… oh dear Josie from Bristol."
"Bit annoying Josie refused to jump, she's done all that training and s**t just to refuse #TheJump," posted another.
The Jump 2017: Josie Gibson REFUSES to jump forcing Davina McCall's show to over-run
She's not going to do it? She's not going to do it! Oh no. No. So Josie is not going to jump which means that it is a no-jump.
A third noted: "Entering a competition called #TheJump but not wanting to actually jump. Well done Josie."
"Just turned on #TheJump and someone called Josie has pulled out from actually jumping which begs the question… Why bother?" asked a disappointed viewer.
Another asked: "#TheJump did anyone explain to Josie what the idea of the programme was?"
The Jump 2017: Josie Gibson looked glum as the credits rolled
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However, some fans were more forgiving of the contestant and offered their support for being brave.
One viewer tweeted: "I was looking forward to seeing more of Josie. She was clearly very nervous, but gutted to see her go out like that. #TheJump."
"Because she DIDN'T do #TheJump, Josie is first to be eliminated. Never mind @Josiestweet – you're braver than we are just getting up there!" posted another."