TimeCopilot is the first open-source agent prediction framework that combines multiple time-series-based models (TSFMs) and large-scale language models (LLMs) through a single, unified API. TimeCopilot automates feature analysis, model selection, cross-validation, and forecast generation, provides natural language explanations, and supports direct questions about the future. It is compatible with both commercial and open-source models and is an LLM-agnostic framework that supports ensembles across diverse forecasting series. Large-scale GIFT-Eval benchmark results demonstrate that TimeCopilot achieves state-of-the-art probabilistic forecasting performance at a low cost. It provides a practical foundation for reproducible, explainable, and accessible agent prediction systems.