The stopping line and the stopping point are very important concepts. However few relations between the two concepts have been proved. In this short article, we manage to recount some relations between the two concepts. We also obtain another result. Wc know that if{λ}be a family of stopping line, and Λ is a countable index set, λmust be a stopping line; if Λ is not a countable index set, what is the λ? Here wc will point out that λis a stopping line too.