The event will be held just a month before the Olympic Stadium hosts the IAAF world athletics championships, making London the first city to stage both events back-to-back.
This year's Paralympics athletics events attracted sell-out 80,000 crowds with the performances of British 100m runner Jonnie Peacock and wheelchair racer David Weir providing some of the most memorable moments of the Games.
"London just staged the best spectacle of sport the world has seen," Johnson said in a statement.
"By bringing the IPC athletics world championships to our wonderful Queen Elizabeth Olympic Park just a month before the world athletics championships, the capital is poised to recreate the magic of 2012.
"London's Paralympic Games were the first ever to sell out, and these Championships provide a perfect chance to build on that enthusiasm for disabled sport," he added.
Xavier Gonzalez, chief executive of the IPC, said London had helped raised the bar for Paralympic athletics.
"We cannot wait to see Great Britain embrace the Paralympic Movement once again with open arms," he said.
"The bar has been set high for the 2017 IPC Athletics World Championships, and we are eager to see the worldwide media attention they attract."
The next edition of the championships is being held in Lyon, France in 2013.