Abraham Lincoln was named after his paternal grandfather, Captain Abraham Lincoln, but he was not given a middle name. It was actually not unusual in the nineteenth century to not have a middle name. Indeed, many of Abraham Lincoln's predecessors as president of the United States also didn't have middle names, including George Washington, John Adams, Thomas Jefferson, James Madison, and James Monroe.
Although he didn't have a middle name, Abraham Lincoln was given a number of nicknames, including "Honest Abe," a name he picked up as a young man, and "The Great Emancipator," a nickname he was given after his part in liberating Southern slaves during the American Civil War. Lincoln used the nickname "Honest Abe" as one of his campaign slogans ("Honest old Abe") when he ran for office in 1860.