In this work we propose an approach for generation of secure and non-invertible fingerprint templates. Firstly, we have to find the points around the reference point and select the n points sorted in ascending order. Then we have to construct a n sided polygon from the n selected points. The polygon created will have all its points connected to the reference minutia which will in turn divide the polygon into n triangles. The area and semi perimeter of the triangle, the angle between the two lines joining the reference minutiae from the two points is calculated and the orientation of the points in the triangle is taken. These all features together constitute the feature vector. This feature vector will be projected onto the 4D-space and the binary string will be generated from it. Then Discrete Fourier Transform (DFT) will be applied on the generated binary string. To achieve non invertibility the obtained DFT matrix will be multiplied by a user key. At last, the proposed work will be inspected by using the FVC databases and various metrics will be used to check the performance.