In low energy supersymmetry based models, the soft supersymmetry breaking interactions excepting the mass terms are usually considered to be holomorphic functions of fields. While a superpotential such as that of MSSM needs to be holomorphic, there is no reason why soft supersymmetry breaking interactions are required to be holomorphic functions of fields. Of course, an arbitrary nonholomorphic interaction may invite an appearance of quadratic divergence (or hard supersymmetry breaking); however, there are scenarios with no gauge singlet fields where nonholomorphic interactions can as well be of soft supersymmetry breaking type. One may consider a hidden sector based supersymmetry breaking, with X and Φ Φ to be chiral superfields. Then, there exist nonholomorphic D -term contributions of the forms 1 M 3 [ X X ∗ ∗ Φ Φ 2 Φ Φ ∗ ∗ ] D a n d 1 M 3 [ X X ∗ ∗ D α α Φ Φ D α α Φ Φ ] D that are soft supersymmetry breaking in nature. The above lead to nonholomorphic trilinear soft terms like ϕ ϕ 2 ϕ ϕ ∗ ∗ and an explicit Higgsino soft mass term like ψ ψ ψ ψ in the Lagrangian. The coefficients of both ϕ ϕ 2 ϕ ϕ ∗ ∗ and ψ ψ ψ ψ terms are proportional to | F | 2 M 3 , where | F | is the vacuum expectation value of the auxiliary field components of X and M is the scale of mediation of supersymmetry breaking. Away from MSSM, there can be higgsino-gaugino interactions like ψ ψ λ λ that are also nonholomorphic in nature.