The Vice-Premier, Han Zheng, told the Chief Executive to uphold the principle of "patriots administering Hong Kong" and organise well the coming three "major" elections in accordance with the law.
The state leader was speaking on Saturday as he met Carrie Lam in Shenzhen one day ahead of the Election Committee elections.
He said he "fully recognises" the results achieved by the SAR government in terms of the pandemic, the territory's economic recovery and alleviating livelihood issues.
Han also expressed the hope that the administration would unite and lead all sectors in Hong Kong, continue with its anti-pandemic effort and plan for the future.
The vice-premier also told Hong Kong to seize the opportunities in the Greater Bay Area and deepen cooperation with the mainland.
In response, Lam thanked the central government for its care and support and said the SAR government would handle the elections seriously.
She also said Hong Kong would actively participate in the development of the Greater Bay Area and Qianhai to improve the city going forward as it integrates into the mainland’s development.