Djokovic, the world number one, survived an unusually sloppy start and eventually dismissed the French 21st seed with 12 aces and 46 winners in two hours and 20 minutes on Centre Court.
The 28-year-old will go for his third All England Club title, and his ninth at the majors, when he faces either seven-time Wimbledon champion Roger Federer or world number three Andy Murray in Sunday's final.
Djokovic defeated Federer in last year's final and lost to Murray in the 2013 showpiece.
Djokovic played down concerns about a left shoulder injury that twice needed treatment and insisted he would be ready for the final.
"It's nothing that worries me honestly. It will be fine for the next match," he said.
"I have a responsibility to play well here in the cradle of tennis. It is an honour to play in the Wimbledon final -- the most watched tennis match in the world.
Gasquet added: "I did a good match, but the tie-break was important, winning that would have given me confidence.
"It was 2-2 in the tie-break then it was 7-2 very fast. He never missed. That's why he's number one in the world."
For the first time, Djokovic has made the Wimbledon, Australian and French Open finals in the same year.
Djokovic, who also won Wimbledon in 2011, now has a remarkable 47-3 record in 2015 and one more win would give the reigning Australian Open champion his second Grand Slam of 2015.
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
