West Ham said a period of appreciation will be shown to Miklosko before kick-off in their Carabao Cup third-round match at Fulham on Tuesday.
They will also dedicate their next home Championship match, against QPR on 9 October, to Miklosko, who made 57 league appearances for QPR between 1998 and 2001 before retiring.
“We are heartbroken to announce the passing of my dad Ludek, following a brave and courageous battle with cancer,” said Martin Miklosko.
“Dad simply loved West Ham United, and especially hearing his name sung loud and proud at every game.
“The club, and its fans, were and always will be a part of our family, so thank you all from the bottom of our hearts.”