Skanska, which has significant operations in the USA, climbed 2.1 percent. During Tuesday evening Swedish time, the country's newly elected president Donald Trump is set to present a "massive" infrastructure package.
Tech company Invisio surged 16.1 percent following a reversed profit warning.
Among the most traded stocks in the OMXS30 index in Stockholm, defense conglomerate Saab rose the most, 3.2 percent, followed by appliance giant Electrolux and heat pump manufacturer Nibe, up 2.8 and 2.6 percent, respectively.
Only 3 of the 30 stocks on the list fell. Real estate company SBB dropped 2.6 percent, mining conglomerate Boliden 1.9 percent, and game developer Evolution 0.3 percent.
At the close in Stockholm, the trend was also positive on the larger exchanges in Europe – Frankfurt, London, and Paris were all up.
On Wall Street in New York, where trading was closed on Monday, prices were rising on all three major indexes.
After reaching a new record high on Monday, the value of bitcoin has fallen back slightly. The cryptocurrency is valued at just under 105,000 dollars per bitcoin.
A dollar costs 11.00 kronor and a euro goes for 11.46 kronor.
With Tuesday's rise, the Stockholm Stock Exchange has climbed 5.1 percent so far this year.