As enterprise operations continue to be globalized through overseas expansions, joint ventures, mergers and acquisitions as well as strategic relationships and partnerships transnational organizations need to give attention to issues of culture in human resource management practices as a panacea for prosperity. The global organization is competent if only it is able to bridge the gap between management and culture so that personal relationships with other peoples in the organization and society become in harmony. This is critical because cultural relativity and reality in organizations influence operations. The study was designed to explore possible relationships between cultural dimensions and global human resource management. The survey research design was employed and data generated through primary and secondary sources. The participants comprised of 385 respondents from a cross-section of the population in Nigeria. By Chi-Square test, it was found that culture has a significant positive relationship with global human resource management.