​I will​ introduce a single-index model for​ the intensity of​ an inhomogeneous spatial point process, relating the intensity function to an unknown function ρ of a linear combination of a p-dimensional spatial covariate process. Such a model extends and generalizes​ the​ commonly used ​log-linear model​. ​I will describe​ an estimating procedure for ρ ​and for the coefficient parameters β​.​ Consistency and asymptotic normality of estimates of β ​can be achieved​ under some regularity assumptions. ​I will show​ results ​from​ a​ simulation stud​y​ showing the effectiveness of the procedure​ and from fitting the model​ t​o a dataset of fast food restaurant locations in New York ​City​.