To obtain a teaching assistantship in US universities, there are several steps you can follow:

1.  Be admitted to a graduate program: To be eligible for a teaching assistantship, you must first be admitted to one of the graduate programs at the university. Typically, teaching assistantships are offered to graduate students who have already been accepted into a program.
2. Demonstrate proficiency in English: Since teaching assistantships involve interacting with students and delivering lectures, a good command of the English language is essential. Universities may require applicants to provide proof of English language proficiency, such as through standardized tests like TOEFL or IELTS.
3. Attend teaching assistantship workshops: Many colleges and universities conduct teaching assistantship workshops to provide training and guidance to prospective teaching assistants. These workshops cover topics such as effective teaching techniques, classroom management, and grading policies. It is important to participate in these workshops to gain the necessary knowledge and skills.
4. Maintain a good academic record: A solid academic record, including a good overall score or GPA, is often taken into consideration when selecting candidates for teaching assistantships. Universities typically look for students who have demonstrated excellence in their academic pursuits.
5. Network with faculty members: Building relationships with faculty members in your department can be beneficial when seeking a teaching assistantship. It is important to actively engage with professors, attend office hours, and express your interest in teaching. Networking with faculty members can increase your chances of being recommended for a teaching assistantship position.
6. Apply for teaching assistant positions: Once you meet the eligibility criteria and have established relationships with faculty members, you can apply for teaching assistant positions within your department. This usually involves submitting an application, including your resume, statement of interest, and sometimes letters of recommendation. Be sure to follow the application guidelines and deadlines provided by the university.

It is important to note that the specific requirements and procedures for obtaining a teaching assistantship may vary among universities. It is advisable to check the specific guidelines and requirements of the university you are interested in to ensure you fulfill all the necessary criteria.