BPSK-PM is a modulation mechanism in which BPSK is used as its sub-carrier modulation mode and PM as its main-carrier modulation mode. This mechanism makes the spectrum of the modulated telemetry signal separate from that of carrier signal, while the residual carrier can be applied in A/V measuring and tracking. This paper firstly introduces the BPSK-PM modulation mechanism and analyzes the spectrum characteristics of its modulation signal, and then proposes a mid-frequency digital reception and carrier acquisition scheme according to the specific application. The carrier acquisition scheme is divided into a frequency searching part based on FFT and a frequency tracking part based on digital frequency-lock loop technology, which are analyzed in details. Finally, this paper shows a practical application of the carrier acquisition scheme, and the effectiveness of the scheme has been preliminarily verified in the Martian deep-space exploration of China.