Large Language Models (LLMs) have achieved exceptional performance across a wide range of tasks. However, they still pose significant safety risks due to the potential misuse for malicious purposes. Jailbreaks, which aim to elicit models to generate harmful content, play a critical role in identifying the underlying security threats. Recent jailbreaking primarily focuses on single-turn scenarios, while the more complicated multi-turn scenarios remain underexplored. Moreover, existing multi-turn jailbreaking techniques struggle to adapt to the evolving dynamics of dialogue as the interaction progresses. To address this limitation, we propose a novel multi-turn jailbreaking method that refines the jailbreaking path globally at each interaction. We also actively fabricate model responses to suppress safety-related warnings, thereby increasing the likelihood of eliciting harmful outputs in subsequent questions. Experimental results demonstrate the superior performance of our method compared with existing single-turn and multi-turn jailbreaking techniques across six state-of-the-art LLMs. Our code is publicly available at https://github.com/Ytang520/Multi-Turn_jailbreaking_Global-Refinment_and_Active-Fabrication.