The 30-share barometer added 61.25 points, or 0.34 per cent, to 17,810.90 with stocks of healthcare, IT and banking sectors leading the rise. The index had gained almost 437 points in the previous three sessions.
The wide-based National Stock Exchange index Nifty moved up by 16.75 points, or 0.31 per cent, to 5,375.45.
Trading sentiment remained firm on continued buying by funds and retail investors largely in tandem with a firming trend in the Asian region on hopes of fresh US stimulus measures to boost economy.
In Asian region, Hong Kong's Hang Seng rose by 0.18 per cent, while the Japan's Nikkei by 0.10 per cent in early trade today. The US Dow Jones Industrial Average ended 0.11 per cent higher in Friday's trade.