the present regime; the existing regime
Refers to the current political or organizational system in power. Often used in news or formal contexts.
The present regime may change in next year's election.
Economic reforms are being advanced under the existing regime.
現政権 refers specifically to the current administration or government, whereas 現体制 can refer to a broader system or regime.
Compound of 現 (げん, 'present') and 体制 (たいせい, 'system, regime').