Follow these steps to write a letter of acceptance: Address the appropriate recipient. Express your gratitude for the job offer.Dear Ms. Gray: I am writing to formally accept your job offer and tell you once again how pleased I am to be coming to work at Orange Center. Employment Offer Letter Instructions. Hello Employer, Thank you for the offer of employment, I accept. Please let me know what next steps will be. How To Write A Job Offer Acceptance Letter? A letter is requested? If accepting a job offer, I presume details on salary and benefits are worked out. The amount you receive is based on what you were paid in the last year.