Sixth seed Murray beat the 10th seeded Bulgarian 6-4, 6-7 (5/7), 6-3, 7-5 and will now play Australian teenager Nick Krygios in the last eight.
The British star showed fantastic fighting qualities to claw back from 2-5 down in the fourth set to deny Dimitrov taking the epic match into a fifth and deciding set.
Murray, a two-time Grand Slam champion but luckless in Melbourne in three losing finals, will now have to battle a home crowd when he takes on Kyrgios in the last eight on Tuesday.
"I got quite lucky at the end, a couple of net cords went my way and that was the difference really," Murray said of the gruelling 3hr 32min match on Rod Laver Arena.
Murray won match point on a net cord.
"A lot of the games were close, back and forth, and the momentum was switching both ways all the time," he said.
"Grigor is an unbelievable athlete, he's extremely quick around the court, so agile, and he gets shots that other players don't get to and he's got fantastic hands as well.
You’ve reached your limit of {{free_limit}} free articles this month.
Subscribe now for unlimited access.
Already subscribed? Log in
Subscribe to read the full story →
Smart Quarterly
₹900
3 Months
₹300/Month
Smart Essential
₹2,700
1 Year
₹225/Month
Super Saver
₹3,900
2 Years
₹162/Month
Renews automatically, cancel anytime
Here’s what’s included in our digital subscription plans
Exclusive premium stories online
Over 30 premium stories daily, handpicked by our editors


Complimentary Access to The New York Times
News, Games, Cooking, Audio, Wirecutter & The Athletic
Business Standard Epaper
Digital replica of our daily newspaper — with options to read, save, and share


Curated Newsletters
Insights on markets, finance, politics, tech, and more delivered to your inbox
Market Analysis & Investment Insights
In-depth market analysis & insights with access to The Smart Investor


Archives
Repository of articles and publications dating back to 1997
Ad-free Reading
Uninterrupted reading experience with no advertisements


Seamless Access Across All Devices
Access Business Standard across devices — mobile, tablet, or PC, via web or app
