A package of polyester type conjugate fiber of either a side-by-side type or an eccentric sheath/core type in which two kinds of polyester components are adhered to each other to form a single filament, wherein at least one of the components consisting of the single filament is polytrimethylene terephthalate containing repeating units of trimethylene terephthalate of 90 mol % or more, which package is formed of 2 kg or more of the conjugate fiber and satisfies the following items (1) to (3): (1) the difference in diameter between a selvage portion and a central portion of the package is 10 mm or less, (2) a winding width of the package is in a range from 60 to 250 mm and a diameter of the package is in a range from 100 to 400 mm, and (3) the difference in dry-heat shrinkage stress value between the conjugate fibers layered in the selvage portion and the central portion of the package is 0.05 cN/dtex or less.