The US said it would appeal against the decision on Monday and asked for Assange to be remanded in custody while that process was ongoing.
Judge Vanessa Baraitser said in her Wednesday ruling that "there are substantial grounds for believing that if Mr. Assange is released today he would fail to surrender to court and face the appeal proceedings."
US prosecutors had argued on Wednesday that Assange had already shown he was "capable of going to extraordinary lengths to avoid extradition," noting his seven-year stay inside a Ecuadorian embassy in London.
Assange's defense countered that argument, saying that as the court had ruled in favor of him in regards to the extradition order, Assange had every reason to follow the law. They offered up stringent measures to assure both the prosecution and the court that Assange would be able to abscond, including house arrest and GPS monitoring if granted bail.
Baraitser's rejected the defense's arguments, saying that Assange had "already demonstrated that he has been willing to flout the order of this court" and that "stringent conditions previously imposed upon him did nothing to prevent this."
The judge's decision to deny bail comes after she ruled on Monday that while Assange would be afforded a "fair trial" in the event of extradition to the US, he should not be sent on the grounds that it would be "oppressive," by reason of his mental health. She said that that the "special administrative measures" Assange would most likely be subject to inside a US prison would have a severe, negative impact on it.
Baraitser said on Monday that Assange had "remained either severely or moderately clinically depressed," throughout his stay at London's Belmarsh prison and that he was now considered a suicide risk.
From Monday, the US government has 10 days to make a formal application to the UK High Court, where all extradition appeals are heard, according to Nick Vamos, a lawyer and former head of extradition at the UK's Crown Prosecution Service.
Marc Raimondi, acting director of Public Affairs for the US Department of Justice said in a statement on Monday that "while we are extremely disappointed in the court's ultimate decision, we are gratified that the United States prevailed on every point of law raised. In particular, the court rejected all of Mr. Assange's arguments regarding political motivation, political offense, fair trial, and freedom of speech."
Raimondi added that the department would "continue to seek" Assange's extradition.
The appeal is likely to be heard in the next two to three months, Vamos said.