This dissertation examines empirical application of the zero-inflated ordered probit (ZIOP) model to the impact of first marriages on smoking and alcoholic beverage consumption. The data for this study is drawn from the National Longitudinal Survey of Youth (1997). In my ZIOP model analysis of the impact of first marriage on smoking and alcoholic consumption, I juxtaposed the ZIOP model with popular models in health economics literature like the ordered probit (OP) model, the ordered probit endogenous dummy (OP-ED) model, the zero-inflated ordered probit model correlated (ZIOPC) and the Heckman sample selection ordered probit (SSOP) model. The analysis highlighted four sets of result. First, all the statistical tests of the model specifications, including the Vuong test, and information criteria, show that the ZIOP model of the impact of marriage on smoking and alcoholic beverage consumption is superior to the OP, OP-ED, SSOP, and ZIOPC models. Second, first marriages increase the probability of zero consumption of tobacco products and alcoholic beverages. Third, conditional on participation, the probability of zero alcohol consumption is not significantly different from zero. The converse is true for the smoking sample. Last, the benefits of first marriage in terms of reduced smoking and drinking is diminishing in the ordinal levels of the intensities of tobacco and alcoholic beverage consumption.