This paper assesses the significance of occurrence and incidence of infant mortality in the Kumasi district, a suburb of the Ashanti Region of Ghana, from 2008 to 2014 using the poisson regression model. Data was collected from the Ghana Health Service (GHS) District Office in Kumasi. The poisson regression model was used to determine the improvement of infant mortality during the years understudy with reference to the year 2014. Results show that the mean number infant mortality is higher in 2008, 2009 and 2012 compared to 2014 (reference year) for both occurrence and incidence. Also, the mean occurrence and incidence of infant mortality reduced significantly throughout the study period.