In today's competitive job market, both job seekers and employers face the challenge of efficiently matching skills, qualifications, and job requirements. To address this issue, we propose a Resume Matching Framework that leverages Natural Language Processing (NLP) and Deep Learning techniques to rank and sort resumes based on their relevance to job postings. The framework begins by preprocessing both resumes and job postings, extracting key information, and transforming the text data into structured representations. We employ state-of-the-art NLP models, such as BERT and GPT-3, to capture the semantic meaning of the text, enabling a deeper understanding of job descriptions and candidate resumes. The core of the framework is a deep learning model designed for ranking and sorting. We train this model on a dataset consisting of labeled resume-job posting pairs, where each pair is assigned a relevance score. Our framework incorporates several innovative components, including Feature Extraction, Contextual Understanding, Ranking and Sorting, Scalability, and Customization. The proposed Resume Matching Framework offers significant advantages for both job seekers and employers. Job seekers can benefit from a more efficient job search process, as their resumes are more likely to be matched with relevant job opportunities. Employers can streamline the hiring process by quickly identifying the most suitable candidates for their job postings. We evaluate the framework's performance on a diverse dataset and demonstrate its effectiveness in improving the job-matching process.