The broad OMXS index closed with a plus of 1.1 percent, which was in line with the leading European stock exchanges with the exception of the London Stock Exchange where the increase was marginal. Also on Wall Street, prices rose in the initial trading.
The industrial group Sandvik rose 1.4 percent after the announcement that the first phase of a reorganization will cost 570 million kronor, which will burden the second quarter's results.
Volvo rises after billion deals
Volvo rose 1.9 percent after the announcement that the bus and truck manufacturer is selling a large ownership in a Chinese company to instead take over the retailer Swecon from Lantmännen.
The increase was broad with 27 of 30 OMXS30 shares on the plus side.
The financial market has since the US attack on targets in Iran over the weekend been particularly worried about Iranian retaliatory attacks on the large oil traffic in the Persian Gulf and the Strait of Hormuz. But since such attacks have not yet been carried out and since a fragile ceasefire - announced by US President Donald Trump - now seems to be in place, the oil price is falling sharply.
A futures contract for delivery of so-called Brent oil next month - which on Monday was up over 81 dollars per barrel - cost at the close of trading just over 65 dollars per barrel.
The dollar fell 22 öre
At the same time, the dollar fell back from rates around 9.74 kronor on Monday to 9.52 kronor.
The gold price - which usually rises in times of unrest - fell to 3,314 dollars per ounce (approximately 31.1 grams). This can be compared to Monday's peak levels around 3,393 dollars per ounce.
On Monday, the Stockholm Stock Exchange's OMXS index fell by 0.4 percent. And with Tuesday's increase, the index is at minus 1.9 percent since the turn of the year.