Murray clinically disposed of his Serbian rival 7-5 7-5 in exactly two hours to set up a revenge tie against Switzerland’s Roger Federer just a month after his four-set defeat in the Wimbledon final.
Federer had earlier beaten Argentina’s Juan Martin del Potro 3-6 7-6 (7-5) 19-17.
Murray said: “The support that I have had over the last month, after Wimbledon, I really needed it.
“Coming here with the motivation of playing in the Olympics and with the support that I have had has been all the motivation that I needed. I am so happy for being in the final and try and go one further.”
The Scot is currently playing some of the best tennis of his career and is looking forward to the chance to bury his demons at SW19.
“It was an unbelievable atmosphere. I saved a lot of break points,” added Murray. “He had a lot of chances in the second set, but I just managed to hang in. It’s amazing.
“I just wanted to try and win a medal for the team, for the country and lastly for myself. I’m so happy; I would love to win the Gold medal.”
The final will take place on Centre Court at Wimbledon on Sunday.
MORE: The latest football news
MORE: The latest tennis news
BIOGRAPHY: Hector Bellerin
BIOGRAPHY: Nemanja Matic