  In this note we observe that Arnold conjecture for the Hamiltonian maps still
holds on weighted projective spaces $\CP^n({\bf q})$, and that Arnold
conjecture for the Lagrange intersections for $(\CP^n({\bf q}), \RP^n({\bf
q}))$ is also true if each weight $q_i\in {\bf q}=\{q_1,..., q_{n+1}\}$ is odd.
