It can be said that globalization has been one of the most hotly-debated topics in international economics over the past few years. Unprecedented changes in communications, transportation, and computer technology have given the process new impetus and made the world more interdependent than ever. Multinational corporations manufacture products in many countries and sell to consumers around the world. In this global prospect, working as team is not only a trend but also meeting work requirement. The term “teamwork” or “cross-border teamwork” is becoming more and more popular in every organization, enterprise and company. Cross-border teamwork is particularly important in global business management. Globalization creates global firms with many subsidiary that differ in culture, time zones and attitudes, communication and management styles, organizational learning and knowledge management, international negotiations, international business strategy, virtual teams, and human resource management issues. In the field of human resource management, building an effective teamwork, especially an effective cross-border teamwork, will help companies to improve competitive advantages and meet requirements of globalization process. People in every workplace talk about building the team, working as a team, but few understand how to create the experience of team work or how to develop an effective team. To understand more about forming and developing a team as well as a cross-border team, this paper will focus on 3 main parts as follows: Part 1: Overview of teamwork Part 2: Dealing with cross-border teamwork approach Part 3: Building an effective cross-border teamwork