The OMXS index has risen 0.7 percent after a few minutes of trading.
Among the heavyweights, clothing chain H&M and truck manufacturer AB Volvo are up 1.3 percent each, while mining group Boliden is up 1.8 percent.
The broad rally follows a 1 percent rise in the S&P 500 index on Monday. And in overnight trading, the Tokyo Stock Exchange rose 2.4 percent.
The Stockholm Stock Exchange's OMXS index closed unchanged on Monday and has been up 4.0 percent since the turn of the year.
Early this afternoon, an interim report from the banking giant JPMorgan Chase is expected.
