  The global existence of solutions to incompressible viscoelastic flows has
been a longstanding open problem, even for the global weak solution. Under some
special structure ("div-curl" condition) the global small smooth solution was
obtained in \cite{llzhou, cz}. However, the result with large initial data
remains unknown up to now, and it is studied in this paper. We shall put
forward a new structure: the cone-condition and then derive the global smooth
solution to 3D incompressible viscoelastic system with a class of large initial
data. The key is to gain an angle quantity in the estimate of nonlinear terms
by restricting the solution to a cone.
