Abstract Discovering new pulsars is crucial for advancing astrophysics and fundamental physics. Conventional pulsar searches require dedispersion under various dispersion measures (DMs) before period detection, which is computationally intensive, especially for blind searches. In this paper, we introduce a novel dispersion-independent period detection (DIPD) method that eliminates the need for dedispersion prior to period analysis. By constructing a composite period searching (CPS) spectrum, DIPD method preserves harmonic spectral lines of pulsar signals without prior DM knowledge. An efficient and general fundamental detection and harmonic search algorithm then identifies candidate pulsar periods directly from this spectrum. The data can subsequently be folded at the estimated period, enabling a more efficient DM search on the folded data to extract the valid pulsar signal from the candidates. The algorithm was verified by observational data. The results show that DIPD method achieves accurate pulsar detection with fewer invalid candidates while significantly reducing computational cost compared with traditional pipelines such as PRESTO. This approach offers a promising avenue for accelerating large-scale pulsar surveys.