Knowing how to accept a job offer is key. Thank the recruiter, review the offer and follow up with questions and a counter offer before accepting the offer.You should thorougly interview THEM before accepting. In the opening paragraph, thank the recipient for considering you for the position and sending a job offer. Have a good resume with no spelling errors. Create a cover letter. "Explore our page to learn how to formally accept an employment offer. The purpose of a cover letter is to introduce yourself and describe how your specific skills, abilities, and experience match the organization's needs. Confirm interview details with them. An interview is not a job offer so it is not like you are turning down an job offer.