The injury is the latest setback for Djokovic, who has suffered a drop in form since completing a sweep of the grand slam titles at last year's French Open. Both have cited elbow injuries.
Murray is 12-2 on the year, winning his lone title at Dubai while losing in the fourth round of the Australian Open.
Murray, who lost in his opening match at Indian Wells to qualifier Vasek Pospisil, won Miami twice in 2009 and 2013. He was unable to take advantage, however.
In a statement released Saturday, Murray apologized to his fans for his withdrawl from the popular American tournament.
Six-time champion Novak Djokovic announced that he has withdrawn from the tournament due to a right elbow injury.
Djokovic joins world number one Andy Murray on the sidelines for the elite hard court tournament. The 2-time Miami victor noted in a statement that "the focus is now on getting ready for the clay season".
According to a schedule listed on his website, Murray's next planned event is next month at Monte Carlo.
The tournament took to Twitter to break the news, wishing the world no. 1 well in his recovery.
A loss to the Serbian in the Qatar Open final as well as a round-of-16 exit at the Australian Open at the hands of Mischa Zverev were seen as surprise results for the 29-year-old. The women's main draw begins on Tuesday, and the men begin play Wednesday.