Among the most traded shares in the OMXS30 index, the mining group Boliden and the fashion giant H&M pulled away upwards with 3.6 and 3.2 percent, respectively.
The upturn was broad, with 22 of the 30 shares in the large-cap index rising. Overall, the index rose 1 percent.
The cloud service company Sinch had the heaviest fall, dropping 3.1 percent.
The construction group Skanska rose 1 percent after receiving a multi-billion order in Finland.
The industrial group Atlas Copco announced that it had acquired a Brazilian compressed air specialist with 90 employees, and the share rose 0.8 percent.
Two of the three major indexes on Wall Street opened slightly lower after the S&P500 index closed on Monday at a new historic record level – for the 54th time this year.
At the close in Stockholm, the stock exchanges in Frankfurt, London, and Paris had all risen.
The Stockholm Stock Exchange began the trading week on Monday with a 1.1 percent increase and has, with Tuesday's continued rise, increased 8.9 percent since the turn of the year.
