The Second Ohio General Assembly was the second meeting of the Ohio state legislature, composed of the Ohio State Senate and the Ohio House of Representatives. It convened in Chillicothe, Ohio, on December 5, 1803, and adjourned February 17, 1804. This General Assembly coincided with the second year of Edward Tiffin's first term as Ohio Governor.

Under Ohio's first constitution, State Senators were elected to two year terms. For this class, half were elected for one year and half for two years. Members of the House were elected for each term. Article I, section 2 and 6 of Ohio's first constitution called for an enumeration of white male inhabitants of 21 years age every four years, with the number of representatives and senators for each county apportioned by the legislature based on this census. Article I, section 3 called for elections the second Tuesday in October.

For this session, the legislature apportioned four senators for Hamilton, Warren, Montgomery, Butler and Greene Counties, two senators for Washington and Gallia Counties, two senators for Ross and Franklin Counties, one senator for Adams and Scioto Counties, two senators for Jefferson and Columbiana Counties, one senator for Clermont County, one senator for Fairfield County, one senator for Trumbull County and one senator for Belmont County.

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