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Utilizing both the electric and magnetic fields to manipulate electron dynamics enables the external control of topological states. This study investigates the topological characteristics of a quasi-one-dimensional ladder lattice subjected to a time-periodic electric field and a constant magnetic field. The Floquet topological phases are determined in the high-frequency approximation. In the absence of a magnetic field ( φ  = 0), the energy band diagram is modulated by the electric field parameter $\alpha/\hbar\omega$ , leading to a topological phase transition when $\alpha/\hbar\omega$ crosses the value of 1. When a magnetic field is present ( $\phi = \pi$ ), the topological phase transitions in the ladder model are influenced by both the electric field parameter $\alpha/\hbar\omega$ and the perpendicular hopping t _0 , resulting in a diverse range of adjustable topological states. These discoveries offer promising prospects for the utilization of ladder lattice systems with externally modifiable topological properties.