In case that I set accept-propagation-events="false" on both action and script, the script is executed on the propagated event while the action is not executed.

According to jBPM Reference Guide, the script should not be executed.

http://www.redhat.com/docs/en-US/JBoss_SOA_Platform/4.3.CP02/html-single/JBPM_Reference_Manual/index.html#script.element
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. Default is yes|true. If set to false, the action will only be executed on events that were fired on this action's element. for more information, see Section 7.5.4, "Event propagation"
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Actually, org.jbpm.graph.action.Script overrides org.jbpm.graph.def.Action.read() method and doesn't recognize "accept-propagated-events" attribute.