When language is used to communicate to an audience, the listeners are given an insight into the intention of the speaker. This study analyses the concession speech made by President Goodluck Jonathan. It adopts the speech act theory in the classification of the illocutionary acts which are contained in the speech. The simple percentage is used in computing the frequency of the various illocutionary acts. Our findings show a preponderance of the representative speech act and the absence of the directive.