The US, Britain and France carried out attacks at the weekend on alleged chemical weapons facilities, in response to what they say was a toxic gas attack by the Russia-backed Assad regime a week before.
While there was broad support for the mission, Moscow condemned it as illegal and warned it would provoke "chaos" in international relations.
Most markets were down on Monday but the losses were limited.
Hong Kong fell 1.6 percent, while Shanghai had slipped 1.5 percent at the close, with traders there awaiting the release Tuesday of first-quarter Chinese growth data.
Property firms in Hong Kong took a hit on fears of an end to the era of low interest rates as the city's de facto central bank was forced to support the local dollar, which is at 7.85 to the greenback, the lowest end of its band with the US unit.
The Hong Kong Monetary Authority has spent about US$1.7 billion boosting the currency, which has been hit by a flow of cash out of the city to the United States in search of higher interest rates.
Chang Liu, China economist at Capital Economics, warned there was a concern that the HKMA's move would raise interest rates in the city, which could hammer the property market -- among the world's most expensive -- and have a knock-on effect for the economy.
Singapore fell 0.2 percent, while Wellington and Taipei also declined.