The 37-year-old had been linked with a return to his homeland this summer.
“Radek’s been great back-up for Rangers – and he deserves this extension to his contract,” QPR boss Neil Warnock told the Ealing Gazette.
“It says something he was willing to come all the way back here to sort it now.
“But I’ve told him he needs to enjoy the break and he can sign when he gets back.”