An arborist's climbing rope in which an eye splice having a splice tuck can be formed at one end includes in one embodiment a core of polypropylene, a first braided tubular sheath of nylon disposed about the core and a second braided tubular sheath of a polyester disposed about the first braided tubular sheath, the cross-sectional diameter of the fiber material of the core area being in the range of 1 to 10% of the total cross-sectional diameter of the arborist's climbing rope. In forming the eye splice a portion of the core is intentionally removed near the eye splice to form a space within the first tubular sheath where the core has been removed and the splice tuck is buried in and substantially completely fills the space within the first tubular sheath where the core has been intentionally removed.