The evolution of agriculture into a data-centric, precision-driven sector has accelerated the integration of Artificial Intelligence (AI) and digital technologies, offering new pathways for climate-resilient and fraud-resistant farming systems. As climate variability intensifies and food security pressures mount, AI-driven climate-smart agriculture (CSA) systems have emerged as powerful tools to improve yield efficiency, optimize resource inputs, and strengthen environmental sustainability. These systems use real-time data analytics from drones, satellite imagery, weather sensors, and soil probes to inform dynamic decision-making across crop management, irrigation scheduling, and disease prediction—making agriculture both adaptive and environmentally responsible. Simultaneously, the increasing flow of capital into green finance mechanisms for agriculture—through carbon credits, climate adaptation funds, and sustainability-linked loans—has exposed systemic vulnerabilities to fraud, misallocation, and unverifiable reporting. AI-enabled verification, using machine learning models and cross-referenced geospatial data, enables automated monitoring and compliance validation across farming operations. Such frameworks enhance transparency, making green finance disbursement traceable, evidence-based, and resistant to manipulation. This paper explores the convergence of AI-driven precision agriculture with climate-smart principles and integrity-focused financial architecture. It examines how intelligent systems can support scalable, fraud-proof investment in sustainable farming, especially in developing economies where financial accountability and environmental performance are interlinked. Through technical evaluation and case-based analysis, the study proposes a digital governance model that leverages AI to balance productivity, sustainability, and financial credibility. The findings offer actionable insights for governments, agri-fintech platforms, and multilateral climate funds seeking to catalyze reliable, technology-enabled agricultural transitions in the era of climate urgency.