Cuban link and curb link describe the same fundamental chain architecture — interlocking oval links with a consistent twist angle that allows the chain to lie flat. In common usage, 'curb link' is the technical jewelry industry term for the link style; 'Cuban link' is the cultural term that emerged from Miami's jewelry scene and is now widely used for the premium variant with rounded, fully polished links. Most retailers use both terms interchangeably for the same chain.
The technical distinction that does exist: a Miami Cuban link specifically refers to a curb link variant where each link has a rounded, three-dimensional cross-section (the link wire is round, not flat) and the links are woven at a precise angle that creates a uniform, tight, fully polished exterior. Standard curb links can have flat, rectangular, or rounded cross-sections with varying twist angles. The Miami Cuban's rounded links and precise geometry produce the fullest, most richly polished appearance of any curb link variant.
For practical purchasing: when a retailer describes a chain as a 'Cuban link,' 'Miami Cuban,' or 'curb link,' they are all describing the same fundamental link architecture. The meaningful distinctions are in construction quality — solid vs. hollow, Miami Cuban vs. standard curb profile, link width and gauge, and surface finish quality — rather than in terminology. Ask about these construction specifics rather than focusing on the Cuban vs. curb naming distinction.