A herringbone planetary gear transmission device with a constant meshing characteristics constructed tooth pair, comprising a sun gear (1) with a constructed tooth pair, a planetary gear (2) with a constructed tooth pair and an internal gear (3) with a constructed tooth pair based on conjugate curves, wherein a normal tooth profile curve Γs1 of the sun gear (1) with a constructed tooth pair, a normal tooth profile curve Γs2 of the planetary gear (2) with a constructed tooth pair and a normal tooth profile curve Γs3 of the internal gear (3) with a constructed tooth pair are continuous combined curves ΓL with the same curve shape, and the continuous combined curves ΓL comprise a combined curve ΓL1 of an odd power function curve and a tangent at an inflection point thereof, a combined curve ΓL2 of a sine function curve and a tangent at an inflection point thereof, a combined curve ΓL3 of an epicycloid function curve and a tangent at an inflection point thereof, a combined curve ΓL4 of an odd power function, a combined curve ΓL5 of a sine function, or a combined curve ΓL6 of an epicycloid function;
- the continuous combined curve is formed by two continuous curves, a connection point of the two continuous curves is an inflection point or a tangent point of the continuous combined curve, and the inflection point or the tangent point of the continuous combined curve is a designated point located on a meshing force action line of a gear pair;
- and normal tooth profiles are swept along given conjugate curves to obtain tooth surfaces of the sun gear (1) with a constructed tooth pair, the planetary gear (2) with a constructed tooth pair and the internal gear (3) with a constructed tooth pair.