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Abtract: The signature splittings in K π = 1 +: 7 /2[404] π ⊗9 /2[624] ν , K π = 0−: 9 /2[514] π ⊗9 /2[624] ν bands of 180Ta and K π = 0−: 7 /2[404] π ⊗7 /2[503] ν , K π = 1−: 5 /2[402] π ⊗3 /2[512] ν , K π = 1+: 7 /2[404] π ⊗9 /2[624] ν bands of 182Ta are analysed within the framework of two-quasiparticle rotor model. The phase as well as magnitude of the experimentally observed signature splitting in K π = 1+ band of 180Ta, which could not be explained in earlier calculations, is successfully reproduced. The conflict regarding placement of a 12 + level in K π = 1 +: 7 /2 +[404] π ⊗9 /2 +[624] ν ground-state rotational band of 180Ta is resolved and tentative nature of K π = 0−: 7 /2[404] π ⊗7 /2[503] ν , K π = 1+: 7 /2[404] π ⊗9 /2[624] ν bands observed in 182Ta is confirmed. As a future prediction for experimentalists, these two-quasiparticle structures observed in 180Ta and 182Ta are extended to higher spins.