Firm buying was witnessed in metal, realty, banking, power, oil & gas and IT sector stocks apart from MidCap and SmallCap shares.
Investor sentiments remained upbeat with the Apex bank's surprise rate cut last week coupled with encouraging Q3 earnings amid persistent FII inflows.
The Sensex resumed higher at 28,324.85 and rallied to a high of 28,435.92, a rise of 173.91 points, or 0.61 per cent, from its previous close.
Major gainers were Hindalco (2.64 pct), Tata Steel (2.42 pct), Axis Bank (2.00 pct), SSLT (1.89 pct), SBIN (1.71 pct), HDFC (1.22 pct) and ITC (0.99 pct).
Asian markets were trading higher after China said that its economy had not slowed down as much as widely perceived.
Key benchmark indices in China, Hong Kong, Japan, Singapore, South Korea and Taiwan were up by 0.61 pct to 1.81 pct, while Indonesia's Jakarta Composite was trading down at 0.52 pct.