A Minimal Prefix (MP) trie is a tree structure for key retrieval, and a double-array is an efficient data structure for the MP trie. This paper presents two compression methods for the double-array. One method removes leaf nodes following two-way arcs (named twin leaves) from the MP trie. The other method unifies common suffixes. Experimental results show that space usage of the double-array is reduced to about 60% by the two methods.