Over the years, there have been a number of issues pertaining to the import of beef into U.S economy. The price of beef has recorded steady increase in recent years. Internal factors such as input for raising cattle and external factors like import quota, tariffs and prices of related animal products may have accounted for the high prices of beef. Country of Origin Labeling (COOL) is a labeling U.S. Farm Bill law passed in 2008 by the United States Congress demanding meat, fruits, vegetables and peanuts to be labeled as to their country of origin. The implementation of country of origin labeling has become one of the controversial issues in the US beef industry and even Canada. The main objective of the study is to determine whether the impact of COOL is serving as an import quota on U.S. beef imports. This is achieved by employing a partial equilibrium analysis to model U.S. import demand for U.S. beef imports. This paper develops an Import Demand model for the U.S. Beef Sector to evaluate if COOL serves as an import quota for U.S. beef imports. The randomized effect model and the OLS regression were estimated. Unrestricted model to test the homogeneity and symmetry conditions: b) Restricted model with homogeneity and symmetry imposed along with a dummy variable COOL taking the value as “1” for pre-COOL, otherwise, “0.The analysis employed a partial equilibrium model to model the import demand function of beef imports. Controlling for other variables that affect the volume of imports, the estimated coefficients of MCOOL was consistently negative in all the Models. This negative effect implied that following the execution of mandatory labeling, there has been a significant increase in the imports of beef into the U.S. from the exporting countries under both the restricted models.