Police are urging people to avoid the area after a man was detained at the scene, a spokesman said.
The two injured people are not believed to badly hurt, according to police.
The spokesman said officers were first alerted to the incident just after 3.10pm.
The police statement in full said: “Police have responded to reports of gun shot fire near Crawley College.
“Police received multiple calls shortly after 3.10pm. One man has been detained at the scene by police.
“People are asked to stay away from the area.
“Staff and students are being evacuated away from the college. Two people have suffered injuries, but these are not believed to be serious.
“We will provide further information as soon as we can.”