Federated Learning (FL) faces performance issues with non-IID data due to local classifier bias.UniVarFL is a novel FL framework that directly addresses these issues without global model dependency.It leverages two regularization strategies during local training: Classifier Variance Regularization and Hyperspherical Uniformity Regularization.Extensive experiments show UniVarFL outperforms existing methods in accuracy, making it a promising solution for real-world FL deployments.