Vietcombank sold the greenback 0.02% lower at VND26,398. The State Bank of Vietnam lowered its reference rate by 0.02% to VND25,141.
On the black market the dollar inched up 0.09% to VND26,615.
Globally the yen weakened to a two-month low against the dollar on Tuesday as attention in Japan turned to who may join the cabinet of fiscal dove Sanae Takaichi after her party leadership victory, Reuters reported.
The euro remained on a fragile footing following the resignation of France's prime minister and European Central Bank officials said a rate cut may be necessary. Traders will be on watch for speeches from Federal Reserve policymakers later in the day as a U.S. government shutdown squelches other data signals.
The dollar index, which measures the greenback against a basket of currencies, added 0.05% to 98.17. The euro was little changed at $1.1705.