The rupee rose by 19 paise to breach the 80 level against the US currency for the first time in two months on Monday due to a weak dollar in overseas markets.
A fall in crude oil prices and early gains in equity markets also supported the local currency, according to forex dealers.
At the interbank foreign exchange market, the rupee opened higher at 80.92 to a dollar against the previous close of 81.17. The local unit moved in a range of 81.02 to 80.88 in morning deals.