The purpose of this study is to deal with reciprocal scope for the interpretation of reciprocal constructions in English. Because the reciprocal requires a plural NP as an antecedent, the referential dependency between the reciprocal and the antecedent shows the ambiguity in the reciprocal scope. In the analysis of reciprocal scope, the distributor each of each other moves to the antecedent NP at LF for the reciprocal binding and the reciprocal ambiguities. Both the distributor and the reciprocator are quantifiers and subject to QR However, the distributor each requires the weak distributivity and the variable bound to each is the plural variable, while the floated quantifier each requires the strong distributivity and its variable is the singular one. Hence, the scopal assignment of the distributor phrases by QR explains the ambiguities of the reciprocal constructions.