He moved to Hinesburg, Vermont with his parents in 1785 and attended the common schools.
He served as a United States. Representative from Vermont. Meech engaged in the fur trade in the Northwest and in ship-timber contracts in Canada. In 1795 he opened a store at Charlotte Four Corners, Vermont.
He moved to Shelburne, Vermont and controlled a farm and ranch store.
He engaged in agricultural pursuits and stock raising. In 1806 he was an agent of the Northwestern Fur Company.
He was elected as a Democratic-Republican candidate to the Sixteenth United States Congress, serving from March 4, 1819 until March 3, 1821. He was a delegate to the state constitutional conventions in 1822 and 1826, and was chief justice of Chittenden County, Vermont Court in 1822 and 1823.
Meech was elected as a Jacksonian candidate to the Nineteenth United States Congress, serving from March 4, 1825 until March 3, 1827.
He was an unsuccessful Democratic candidate for Governor of Vermont in 1830, 1831, 1832, and 1833. Meech served as a presidential elector on the Whig ticket in 1840. He then resumed agricultural pursuits.
Meech died on September 23, 1856 in Shelburne, Vermont.
He is interred at the Shelburne Village Cemetery.
Democratic-Republican Party, Democratic Party.
Meech was a member of the Vermont House of Representatives from 1805 until 1807.