Developers often perform repetitive code editing activities for various reasons (e.g., code refactor) during software development. Many deep learning models are applied to automate code editing by learning from the code editing history. Recently, pre-trained code editing models have achieved the state-of-the-art (SOTA) results. Pre-trained models are first pre-trained with pre-training tasks and fine-tuned with the code editing task. Existing pre-training tasks mainly are code infilling tasks (e.g., masked language modeling), which are derived from the natural language processing field and are not designed for code editing. In this paper, we propose a pre-training task specialized in code editing and present an effective pre-trained code editing model named CodeEditor. Our pre-training task further improves the performance and generalization ability of code editing models. Specifically, we collect real-world code snippets as the ground truth and use a generator to rewrite them into natural but inferior versions. Then, we pre-train our CodeEditor to edit inferior versions into the ground truth, to learn edit patterns. We conduct experiments on four datasets and evaluate models in three settings. (1) In the fine-tuning setting, we fine-tune the pre-trained CodeEditor with four datasets. CodeEditor outperforms SOTA baselines by 15%, 25.5%, and 9.4% and 26.6% on four datasets. (2) In the few-shot setting, we fine-tune the pre-trained CodeEditor with limited data. CodeEditor substantially performs better than all baselines, even outperforming baselines that are fine-tuned with all data. (3) In the zero-shot setting, we evaluate the pre-trained CodeEditor without fine-tuning. CodeEditor correctly edits 1,113 programs while SOTA baselines can not work. The results prove that the superiority of our pre-training task and the pre-trained CodeEditor is more effective in automatic code editing.