The three main New York indexes initially fell on the announcement before rebounding, with analysts pointing out that prices rose less than expected on a monthly basis.
After Eisai, Sumitomo Realty and Development Co was the best performer on the Nikkei, with a 7.55% rally. Mitsubishi Estate and Tokyo Tatemono followed suit, rising 4.05% and 3.75%, respectively.
Warjiyo also repeated that the central bank's policy will be geared towards supporting an economic recovery and that interest rates will be kept low until there is an early sign of rising inflation.
Ahead on Tuesday is a German business survey, a series of US housing updates and a handful of policymaker speeches in Europe, Britain and the United States, which will all be parsed for a reading on inflation.
Investors have worried that the heating up of the U.S. economy could raise the outlook for inflation, prompting the Federal Reserve to tighten monetary policy.
However, stocks markets in the developing economies of Indonesia, Malaysia and the Philippines were broadly lower as worries over the virus and its impact on their economies remain.
Export growth unexpectedly picked up in April, data showed on Friday, as the world's second-largest economy extended its recovery from the COVID-19 pandemic.