This study quantifies and characterises the orthotropic shear mechanical properties along the stem green tissue of senile coconut palms (80 to 100 year-old) from Fiji and Samoa islands. A total of 18 shear tests were carried out on green parallelepiped samples to determine the modulus of rigidity and shear strength. This paper analyses the relationships between the investigated mechanical properties and basic density. Simple equations are proposed to describe the characteristic distribution patterns of the studied mechanical properties as function of basic density. Additionally, the shear green mechanical properties are mapped for a characteristic 25 m height coconut palm stem.