这里举个简单例子，就实现Map<String,String>按KEY值升序和按VALUE升序的例子，代码如下：

一、完整例子

package test;
import java.util.ArrayList;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;
import java.util.Set;
import java.util.TreeMap;
/**
*@Author suibibk.com
*/
public class Test {
    public static void main(String[] args) {
        Map<String, String> map= new HashMap<String, String>();
        map.put("5", "1");
        map.put("4", "2");
        map.put("1", "4");
        map.put("2", "3");
        map.put("3", "5");
        System.out.println(sortMapFromKey(map));
        System.out.println(sortMapFromValue(map));
    }
    //按KEY值升序
    public static  Map<String, String> sortMapFromKey(Map<String,String> map){
        Map<String, String> map2 = new TreeMap<String, String>(
            new Comparator<String>() {
                public int compare(String obj1, String obj2) {
                  //升序排序（反过来就是降序排序）
                  return obj1.compareTo(obj2);
                }
        });
        for (Map.Entry<String,  String> entry : map.entrySet()) {  
           String key = entry.getKey();  
           String value = entry.getValue();  
           map2.put(key, value);
        }  
        return map2;
    }
    //按VALUE值升序
    public static List<Map.Entry<String, String>> sortMapFromValue(Map<String,String> map){
        //a、要转成key先
        Set<Entry<String, String>>  entrySet =  map.entrySet();
        List<Map.Entry<String,String>> listMap = new ArrayList<Map.Entry<String, String>>(entrySet);
        //b、然后再排序
        Collections.sort(listMap, new Comparator<Map.Entry<String, String>>(){
            @Override
            public int compare(Entry<String, String> o1,Entry<String, String> o2) {
                int result = ((String) o1.getValue()).compareTo(o2.getValue());
                return result;
            }
        });
        return listMap;
    }
}

二、运行结果

{1=4, 2=3, 3=5, 4=2, 5=1}
[5=1, 4=2, 2=3, 1=4, 3=5]

温馨提示下，这里按VALUE排序的输出结果是List哦，如果还想转成数组，就直接遍历放入MAP中即可。