DefaultActionInvocation.java:248)
    at org.apache.struts2.interceptor.ServletConfigInterceptor.intercept(ServletConfigInterceptor.java:164)
    at com.opensymphony.xwork2.DefaultActionInvocation.invoke(DefaultActionInvocation.java:248)
    at com.opensymphony.xwork2.interceptor.AliasInterceptor.intercept(AliasInterceptor.java:190)
    at com.opensymphony.xwork2.DefaultActionInvocation.invoke(DefaultActionInvocation.java:248)
    at com.opensymphony.xwork2.interceptor.ExceptionMappingInterceptor.intercept(ExceptionMappingInterceptor.java:187)
    at com.opensymphony.xwork2.DefaultActionInvocation.invoke(DefaultActionInvocation.java:248)
    at org.apache.struts2.impl.StrutsActionProxy.execute(StrutsActionProxy.java:52)
    at org.apache.struts2.dispatcher.Dispatcher.serviceAction(Dispatcher.java:498)
    at org.apache.struts2.dispatcher.ng.ExecuteOperations.executeAction(ExecuteOperations.java:77)
    at org.apache.struts2.dispatcher.ng.filter.StrutsPrepareAndExecuteFilter.doFilter(StrutsPrepareAndExecuteFilter.java:91)
    at org.apache.catalina.core.ApplicationFilterChain.internalDoFilter(ApplicationFilterChain.java:235)
    at org.apache.catalina.core.ApplicationFilterChain.doFilter(ApplicationFilterChain.java:206)
    at org.apache.catalina.core.StandardWrapperValve.invoke(StandardWrapperValve.java:233)
    at org.apache.catalina.core.StandardContextValve.invoke(StandardContextValve.java:191)
    at org.apache.catalina.core.StandardHostValve.invoke(StandardHostValve.java:127)
    at org.apache.catalina.valves.ErrorReportValve.invoke(ErrorReportValve.java:102)
    at org.apache.catalina.core.StandardEngineValve.invoke(StandardEngineValve.java:109)
    at org.apache.catalina.connector.CoyoteAdapter.service(CoyoteAdapter.java:291)
    at org.apache.coyote.http11.Http11Processor.process(Http11Processor.java:859)
    at org.apache.coyote.http11.Http11Protocol$Http11ConnectionHandler.process(Http11Protocol.java:602)
    at org.apache.tomcat.util.net.JIoEndpoint$Worker.run(JIoEndpoint.java:489)
    at java.lang.Thread.run(Thread.java:680)

I have search for a long time but still cannot find out the solution. 
Waiting for your help. Thank you very much.

A: It's been a long time since I used Struts2, but from memory you don't return your response from the action, you return a simple string name that determines which result in the config to use, then the properties on the controller class become available to your view. When returning a json result these properties are serialized for you into JSON to be returned.
So you want something more like this:
private List latlngList;
public List getLatLngList() {
    return latlngList;
}

public String find() throws JsonGenerationException, JsonMappingException, IOException {
    latlngList = new ArrayList()
    /*
    latlngList.add(...);
    */

    return "success";
}

And then in your javascript grab the LatLngList property of the resulting JSON (note the change from data to data.latLngList):
<script type="text/javascript">
    function readLatLng() { 
        var latitude = new Array();
        var longitude = new Array();
        $.getJSON("ajax/LatLngList.action?id=9", function(data){
            $.each(data.latLngList, function(i,latlng){
                latitude.push(latlng.latitude);
                longitude.push(latlng.longitude);       
            });
        });
    }
</script>


A: Because you're doing a mix between looking like you're using the JSON plugin, and directly rendering the result. Meaning neither will work. Actions return the name of a result, not raw data. (Or rather they can return raw data, but then must be handled differently.)
Check out the documentation for the JSON plugin.
// accessible globally
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var App = {
    initConfig: function (config) {
        this.config = jQuery.extend({
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