In past research, we proposed an authentication method that combines actions with spatiotemporal information such as location, time, and distance. With the method, a user succeeds in authentication when he/she performs preset actions such as pushing button n times on preset intervals defined by spatiotemporal information. In this paper, we improve the authentication method using a partial matching method. We propose two kinds of partial matching methods for pushing button and interval. A type I method assumes the number of pushing button is sometimes less than preset count, but the number never exceeds it, and a user never pushes the button out of preset areas. A type II method assumes the number of pushing button is less or more than preset count occasionally, and a user pushes the button out of preset areas. We showed how to calculate FAR when the type I or II is applied. In the experiment, we compared the type I and II methods with a conventional method to evaluate their security. As a result, the type I method improved false acceptance rate (FAR) from 0.097% to 0.053%. The type II method improved FAR from 0.097% to 0.035%.