Abstract: In this paper, we study unbounded complex symmetric Toeplitz operators on the Hardy space $H^{2}(\mathbb{D})$ and the Fock space $\mathscr{F}^{2}$. The technique used to investigate the complex symmetry of unbounded Toeplitz operators is different from that used to investigate the complex symmetry of bounded Toeplitz operators.

Key words: Toeplitz operator, Hardy space, Fock space, complex symmetry