The spot rupee ended at 154.30/35 per dollar, surpassing the previous low of 154.28 hit on Thursday, when it closed at 154.15/20.
The currency fell 0.4 percent this week, surrendering a 0.2 percent gain made last week.
"Some foreign banks were on the (dollar) buying side. There were some sizable remittance flows but the demand was heavy," said a currency dealer.
Dealers expect a 2-3 percent depreciation in the rupee and higher volatility this year on account of debt repayment by the government.
President Maithripala Sirisena's administration must repay an estimated 1.97 trillion rupees ($12.85 billion) in 2018 - a record high - including $2.9 billion of foreign loans and a total of $5.36 billion in interest.
Foreign investors bought 5.9 billion rupees worth of government securities this year up to Jan. 30, central bank data showed.
The rupee fell 2.5 percent last year and 3.9 percent in 2016.
Sri Lanka's stock, bond and foreign exchange markets are closed on Monday for a special holiday. Markets will resume trading on Tuesday.