Japan's Nikkei is up 1.9 percent.
Korea's Kospi is up 0.5 percent.
Australia's S&P/ASX is up 0.6 percent.
Over the weekend, a controversial plan to bail out Cyprus' banks included a surprise levy on depositors.
There was some concern that this could be an idea that would catch on in other countries, which could trigger massive bank runs as depositors flee.
For now, those fears seem to be receding.