Lord Dyson, Master of the Rolls, said the legal challenges were to two "of the Government's most controversial measures" relating to state benefits.
The court could only intervene if the measures "were manifestly without reasonable foundation", the judge said.
He ruled that the test was not satisfied and both challenges must fail.
Representatives for two of the people with disabilities who lost their bid said they were "extremely disappointed" and "baffled" by the court's findings.
"We are currently considering whether an appeal to the Supreme Court is possible" said Ugo Hayter, from law firm Leigh Day.
More top news
The government has seen off a Commons rebellion on Theresa May's flagship Brexit Bill in a last minute concession to pro-EU MPS.
Blatter is banned from official football duty until October 2021 for financial misconduct during his 17-year reign at the governing body.
The Sinn Fein president said the party would call on the Republic of Ireland to provide services to women living in the north.