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One of the celebrated theories in the 80’s is the Floer (co)-homology. Floer first defined his cohomology in the context of symplectic geometry in an attempt to solve the Arnold conjecture. Later, he extended his cohomology to gauge theory, which he called Instanton cohomology. Even though the gauge theoretic Floer (co)-homology was an analogue of his symplectic Floer (co)-homology, it has attracted more attention during last few years and experienced a rapid development, due to the work of Donaldson, Taubes, Kronheimer, Mrowka, Stern, Finturshel, Fukaya, Austin-Braam and other gauge theorists. The development of the symplectic Floer (co)homology was at a slower pace. Recently, partly inspired by the quantum cohomology theory, there is a surge of interest in studying multiplication structures on the symplectic Floer cohomology. It seems that those multiplications can be unified by introducing a Bott-type symplectic Floer cohomology. The main purpose of this paper is to give a brief description of the construction of the Bott-type symplectic Floer cohomology and its multiplication structures on semi-positive symplectic manifolds. The details of the proof will appear in a forthcoming paper. The gauge theoretic Bott-type Floer homology (without considering the multiplication ) has been previously established by Austin-Braam [AB] and Fukaya [Fu], based on the analysis developed by Mrowka [M]. We are partially inspired by their work. We should point out that these multiplication structures are unique for the symplectic Floer cohomology and there is no analogue in gauge theory. The quantum cohomology played a critical role in recent developments in algebraic geometry and mathematical physics. Recently, we established its mathematical foundation for semi-positive symplectic manifolds [RT]. The quantum cohomology imposed a new ring structure on the ordinary cohomology with the Novikov ring as its coefficient ring. The new multiplication is called quantum multiplication. Such a quantum cohomology captures the full information of Witten’s topological sigma model theory.