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This paper deals with the rate of convergence for the central limit theoremof estimators of the drift coefficient, denoted $\theta$, for aOrnstein-Uhlenbeck process $X \coloneqq \{X_t,t\geq0\}$ observed at highfrequency. We provide an Approximate minimum contrast estimator and anapproximate maximum likelihood estimator of $\theta$, namely$\widetilde{\theta}_{n}\coloneqq {1}/{\left(\frac{2}{n}\sum_{i=1}^{n}X_{t_{i}}^{2}\right)}$,  and $\widehat{\theta}_{n}\coloneqq -{\sum_{i=1}^{n}X_{t_{i-1}}\left(X_{t_{i}}-X_{t_{i-1}}\right)}/{\left(\Delta_{n} \sum_{i=1}^{n}X_{t_{i-1}}^{2}\right)}$, respectively, where $ t_{i} = i \Delta_{n}$,  $ i=0,1,\ldots, n $, $\Delta_{n}\rightarrow 0$.  We provide Wasserstein bounds in  central limit theorem for $\widetilde{\theta}_{n}$ and$\widehat{\theta}_{n}$.

Wasserstein bounds in CLT of approximative MCE and MLE of the drift parameter for Ornstein-Uhlenbeck processes observed at high frequency