Murray had an excellent 2015 season, winning four singles titles and reaching at least the semifinals in three of the year's four major tournaments.
Following that win, Murray once again suffered a disappointing defeat in the second round of the Indian Wells to Canada's Vasek Pospisil.
Novak Djokovic has joined Andy Murray in withdrawing from next week's Miami Open.
Djokovic's withdrawal from Miami is just the latest setback for a player who endured a drop in form after completing the career Grand Slam with a long-sought French Open victory a year ago. Apologies to my fans, it's one of my favourite tournaments. I had an incredible run in Miami, I won there my first Masters tournament and started my campaign towards the top of the world rankings.
Taylor Fritz, the rising American star will replace Murray in the Miami draw.
The world number two - a six-time victor in Miami - was beaten in the last 16 in Indian Wells last week by Nick Kyrgios, his second loss to the Australian this month.
Reports claimed that the former world number one went back to Monaco to consult doctor.
"Sadly, due to a right elbow injury, I won't be playing in Miami", a statement from Murray read.
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.