A structure for electrical locks comprises two rotational members, a latching assembly, and a controlling means. The two rotational members are respectively secured to two handles of a door. The latching assembly includes a cartridge, a sliding element, and a dividing rod. The dividing rod is fitted in the cartridge to define two lateral zones respectively corresponding to two recesses of the rotational members. The sliding member is slidably fitted in one of the lateral zones of the cartridge. The controlling means includes a pushing assembly and a solenoid. When the solenoid is de-energized, the pushing assembly can be moved forward to lock a respective handle. When the solenoid is energized, the pushing assembly can be moved back to free the respective handle. The structure can be easily applied in a door where one handle can be freely operated while the other handle can be electro-selectively operated.