The word brink refers to the edge or the limit of something. There are several synonyms for the word brink depending on the context of use. One possible synonym is the word verge which has a similar meaning to the brink. Another synonym would be the word threshold which pertains more to a starting point or the beginning of something. The word precipice is also synonymous with brink, although it leans more towards a dangerous kind of edge. The word edge and lip can also be used to substitute for the word brink. Lastly, the word cusp can also be used as a synonym particularly with regards to a critical point.