Murray wins 6-4, 6-4 and will now look to record a first victory of 2015 over old foe Djokovic.
Novak Djokovic will play John Isner in the semi-final of the Miami Open on Friday.
Djokovic faces Ferrer in the 2015 Miami Open quarter final on Thursday. Find out how to follow the match live in the UK.
Murray recovered from losing his opening set to seal victory over Dominic Thiem.
Nishikori face Isner in the 2015 Miami Open quarter final on Thursday (2 April). Find out how to follow the match live in the UK.
The Czech Republic international has made just four starts this season behind Thibaut Courtois
The British No.1 sets up quarter-final meeting with Dominic Thiem after landmark win
Fourteen-time major champion blames anxiousness for three-set loss.
British number one set to face Kevin Anderson in round four after 6-3, 6-4 victory over Giraldo.
British number one disappointed but feels she is progressing after narrow loss.
Rafael Nadal to return to Queen's Club after four years before Wimbledon
World number one survives second-set scare to win title for the fourth time.
Novak Djokovic faces Roger Federer in the final of the 2015 PNB Paribas Open on Sunday. Find out how to follow the match live.
The Brit sealed his 10th career win over Feliciano Lopez to book a place in the final four.
International Tennis Federation hand down unprecedented ban to former world number 77.
Serena Williams said her decision to end a 14-year boycott of the BNP Paribas Open after suffering racist abuse in the 2001 final came down to "timing."
The British number one is looking for a second coach to assist Amelie Mauresmo.
Exclusive: The venues are the leading grass-court contenders to host the quarter final against France.
Murray sets up quarter-final tie against France on July after straight sets win.
Andy Murray can clinch tie with victory over John Isner after US keep themselves in contention
World number 111 gives GB 2-0 lead after day on in Glasgow ahead of Saturday's doubles match.
British number one impresses against American and wins in four sets on his return to Glasgow.
Preview of the second Davis Cup rubber as Ward and Isner meet in Glasgow.
Preview of the opening David Cup rubber as Murray takes on Young in Glasgow.
James Ward takes on John Isner in the second of Friday's rubbers in Glasgow.
The eight-time grand slam champion says the British number one's best days are in front of him.
Former men's world number one Agassi has tipped Djokovic to win all four grand slams in a calendar year.
The British number one is now due to play against the United States at the Davis Cup Tie next month.
The couple will tie the knot on 11 April at the five-star Cromlix House Hotel, close to Murray's home town of Dunblane.
Murray matched the champion in a pulsating opening two sets before Djokovic took control.