Some states were against Abraham Lincoln, and this rejection led to a civil war. Why were these states against him?These states were against him as...

You are speaking of the presidential election that placed
A. Lincoln in the White House for the first time.  The short answer to your question is
that Lincoln was the representative of the Republican Party, and the Republican Party
was very radical for the time.  Belonging to the Republican Party were radical
abolitionists, socialists, communists, and athiests.  It was obviously headed toward
making a revolution in U.S. society and politics. These were not its only members of
course, or it could not have won the states that it did win, but these tendencies were
enough to scare away the majority of voters in many states.  Those states were mostly
southern and mostly rural in population.  Rural people tend to be more conservative,
while urban people, who must devote more activity and time to scampering about for a
living, and have less time for thoughtful contemplation, tend to embrace more radical
causes.  The Republican Party leaders had nominated Lincoln over better qualified
candidates so that their Party would win Illinois and other Midwestern states, which
they feared they could not otherwise win.  Also, some powerful politicians in the
Republican Party supported industrial interests and opposed agricultural interests. 
They wanted to abolish slavery so that the planters would be destroyed as a political
influence in the national government. 

Lincoln personally
did not advocate abolition of slavery and made no moves to abolish it before 1862, but
everyone knew that the radical abolitionists belonged to the Republican Party.  These
people wanted slavery ended immediately even if it took war to do it and did not care
about the consequent upheavals to society of immediate vs. stepped
abolition.