"Sadly, I won't be able to defend my title in Miami this week". "We wish a quick recovery to our champion".
With both Murray and Djokovic out, it is expected that current world number three Stan Wawrinka will move into the top spot in the draw.
"Apologies to the fans, it's one of my favourite tournaments".
Yesterday, Murray announced that he will not take part in the ATP Masters title, which starts next week.
It's Kyrgios' second victory in as many weeks over Djokovic, after an upset triumph in the quarter-finals at Acapulco.
However, despite withdrawing from the Miami Open, Murray need not worry about Novak Djokovic gaining any points and closing the gap on him in the rankings as the Serb too is in doubt for the Miami Open.
The men's singles at the Miami tournament begins on Wednesday, with the event running until April 2.
The tournament will, however, have the women's world number one, with Germany's Angelique Kerber posed to return to the summit on Monday despite a fourth-round exit at Indian Wells because of Williams's inactivity. Top-ranked Serena Williams, an eight-time champions at the event, will also miss it this year, citing a knee injury.
Djokovic was forced to pull out of last season's China Open with a right elbow issue and having seemingly been plagued by the same problem, has visited a specialist in Monaco in a bid to find a solution.