Axis Bank gained around 2 percent on the back of Q3 show, which showed lower slippages.

Market opens: Shares began the day on another strong note, with the Nifty hitting a fresh milestone of 11,000 in the first few minutes of trade. The Sensex gained over 100 points.

At 09:16 hrs IST, the Sensex is up 134.91 points or 0.38% at 35932.92, and the Nifty up 43.00 points or 0.39% at 11009.20. The market breadth was positive as 523 shares advanced, against a decline of 246 shares, while 152 shares are unchanged.

Axis Bank gained around 2 percent on the back of its December quarter performance.

BHEL, Coal India, IOC and Yes Bank gained the most, while Hero MotoCorp, Asian Paints, HUL, and Zee Entertainment were the top losers.

The Indian rupee opened lower at 63.90 per dollar on Tuesday versus previous close 63.87.

Bhaskar Panda of HDFC Bank said, "Any rally around or move above 64 is meeting with customer selling. For today, expect a range of 63.70-63.90 to hold."

"The yields of the Indian benchmark is trying to find a base just above 7.40 percent. Expect today's range between 7.44-7.48 percent, "he added.

Among global markets, Asian stocks advanced after US senators struck a deal to end a three-day government shutdown, sending Wall Street's main indexes to record highs and keeping the dollar well supported.

US lawmakers passed a short-term measure on Monday to fund the federal government through February 8.

MSCI's broadest index of Asia-Pacific shares outside Japan rose 0.2 percent to a fresh record peak.

Meanwhile, US stocks advanced as each of Wall Street's main indexes touched a record intraday level after US senators struck a deal to end the federal government shutdown.

US senators voted to move forward on legislation that would reopen the federal government until February 8. Funding legislation cleared a procedural hurdle in the Senate and was expected to pass a full Senate vote promptly, allowing the government to re-open.

"The only way politics affects what the market does is if they end of having a negative impact on the economy and corporate earnings and so far that hasn't been the case," said Michael Arone, Chief Investment Strategist at State Street Global Advisors in Boston.

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