This paper presents DeepTrans, a free translation model using deep inference LLMs (e.g., OpenAI o1 and DeepSeek-R1). Pointing out that free translation is understudied in existing deep inference LLMs, we introduce DeepTrans, which learns free translation through reinforcement learning (RL). Using predefined evaluation criteria for both translation results and thought processes, we build a reward model that allows DeepTrans to learn how to reason and translate freely. Furthermore, it eliminates the need for labeled translation data, avoiding the labor-intensive and resource-intensive task of data generation. Experimental results show that DeepTrans, based on Qwen2.5-7B, improves literary translation performance by 16.3%, outperforming existing powerful deep inference LLMs. We also summarize failures and interesting findings from the RL exploration process.