Motivated by a problem in geology, this paper proposes some tests of the spatial association between a point process and some other stochastic process of geometric structures, G. All the tests are performed conditionally on the realization of G. Under the null hypothesis that the point process is a stationary Poisson process independent of G, some of these statistics have well-known distributional properties, even in small samples. The Poisson assumption is relaxed using a conditional Monte Carlo test suggested by H. W. Latwick and B. W. Silverman [Methods for analyzing spatial processes of several types of points. ibid. Ser. B 44, 406-413 (1982)]. The tests are applied to a geological data set.