A spin-1 Heisenberg model on trimerized Kagomé lattice is studied by doing a low-energy bosonic theory in terms of plaquette-triplons defined on its triangular unit-cells. The model considered has an intra-triangle antiferromagnetic exchange interaction, J (set to 1), and two inter-triangle couplings, J > 0 (nearest-neighbor) and J (next-nearest-neighbor; of both signs). The triplon analysis performed on this model investigates the stability of the trimerized singlet ground state (which is exact in the absence of inter-triangle couplings) in the J -J plane. It gives a quantum phase diagram that has two gapless antiferromagnetically ordered phases separated by the spin-gapped trimerized singlet phase. The trimerized singlet ground state is found to be stable on J = 0 line (the nearest-neighbor case), and on both sides of it for J = 0, in an extended region bounded by the critical lines of transition to the gapless antiferromagnetic phases. The gapless phase in the negative J region has a coplanar 120• -antiferromagnetic order with √ 3 × √ 3 structure. In this phase, all the magnetic moments are of equal length, and the angle between any two of them on a triangle is exactly 120• . The magnetic lattice in this case has a unit-cell consisting of three triangles. The other gapless phase, in the positive J region, is found to exhibit a different coplanar antiferromagnetic order with ordering wavevector q = (0, 0). Here, two magnetic moments in a triangle are of same magnitude, but shorter than the third. While the angle between two short moments is 120• − 2δ, it is 120• + δ between a short and the long one. Only when J = J , their magnitudes become equal and the relative-angles 120• . The magnetic lattice in this q = (0, 0) phase has the translational symmetry of the Kagomé lattice with triangular unit-cells of reduced (isosceles) symmetry. This reduction in the point-group symmetry is found to show up as a difference in the intensities of certain Bragg peaks, whose ratio, I (1,0) /I (0,1) = 4 sin 2 ( π 6 + δ), presents an experimental measure of the deviation, δ, from the 120• order.