Study on word play using computer is both computational and artistic challenge. This study is an attempt on automatic generation of Iroha-Uta poetry using the computer. Iroha-Uta is poetry containing all kanas without duplication and has been composed by the intelligence of humans. Here, kanas are Japanese syllabic writing system. Generation of Iroha-Uta is a combinatorial problem of how to choose appropriate words from given vocabulary. This paper describes an algorithm based on the frequency distribution of kanas and an advanced algorithm using word bigram.