After five minutes of trading, the Dow Jones industrial average rose 0.5 percent, the broad S&P 500 index rose 0.6 percent and the tech-heavy Nasdaq composite index rose 0.8 percent.
On Friday, the Nasdaq plunged 4.2 percent as AI-related companies took a beating. But these companies recovered some of their losses on Monday - and that continues on Tuesday.
Chipmaker Micron Technology was up another 3 percent. Marvell Technology, Intel, Broadcom and Qualcomm also continued to rise.
During the day, oil futures also fell slightly, as hopes increased for an extended ceasefire between Iran and the US. A barrel of North Sea oil was around $92.30.
