The book presents the sequence of tasks involved toward admission for the graduate study at the US universities, in general. The book is meant for the undergraduate students of the disciplines of engineering and physical sciences comprising physics, chemistry, mathematics, etc., who aim to undertake the MS and PhD graduate programs, hopefully with financial support from the universities. The book is equally appropriate for the students who have completed their under graduation. The book presents the sequence of tasks involved toward admission for graduate study at US universities, in general. Some of the tasks are the following: selection of universities to apply to, taking the GRE General and TOEFL iBT Tests, preparation of official transcripts, preparation of summary of transcripts, credential evaluation, preparation of SOP (Statement of Purpose) and Resume, considerations toward letters of recommendation, requesting grant of RA (Research Assistantship) and TA (Teaching Assistantship), preparation of affidavit of financial statement, online application and mailing of hard copy application package if deemed necessary, requirement of immunizations and medical tests, acquiring health insurance plan, travel plans and living in the USA as an honorable and disciplined foreigner. A schedule for the performance of tasks in chronological order for the undergraduate engineering students, for illustration, is presented. Various illustrations in the book have been cited from the engineering discipline; however, the plan and the subject matter are equally applicable to students of disciplines of physical sciences. The book includes samples of the following: SOP and Resume, recommendation forms, affidavit of financial statement, health- and medical-related forms of immunizations and medical tests, credential evaluation report and so forth. Lists of topical research fields and well-known universities to undertake the graduate studies are presented that may enable the prospective graduate students to seek admission with financial support from the universities.