  Lambda polarization can be measured through its self-analyzing weak decay,
making it an ideal candidate for studying spin effects in high energy
scatterings. In lepton-nucleon deeply inelastic scatterings (DIS), Lambda
polarization measurements can probe the polarized parton distribution functions
(PDFs) and the polarized fragmentation functions (FFs). One of the most
promising facilities for high-energy nuclear physics research is the proposed
Electron-ion collider in China (EicC). As a next-generation facility, EicC is
set to propel our understandings of nuclear physics to new heights. In this
article, we study the Lambda production in electron-proton collision at EicC
energy, in particular Lambda's reconstruction based on the performance of the
designed EicC detector. In addition, taking spontaneous transverse polarization
as an example, we provide a theoretical prediction with statistical projection
based on one month of EicC data taking, offering valuable insights into future
research prospects.
