Referring to Christians as pagans and Crusaders, material in its magazine, Dabiq, also urges them to "break their crosses" and "abandon their infidelity."
The publication features disturbing images from July's attack by IS in Nice, while another appears to show an IS prisoner having his throat slit.
It includes an article supposedly written by a woman from Finland who was taken to Sunday school as a child but later converted to Islam and married a Muslim.
She says views Christians hold about life do not make sense and urges Christians to embrace Islam because it is "better than anything you might lose or sacrifice".
Middle East analyst at the Henry Jackson Society, Kyle Orton, told Premier's New Hour programme the extremist group's previous attacks show its capacity to target the West.
He said: "Its foreign intelligence service is actually directing these attacks in a lot of cases; it has agents and operatives in Europe.
"They are either guiding people or actually carrying out these attacks, as with the attack in November in France [Paris]."
Mr Jackson went on to say the propaganda of IS is difficult to control, adding: "[Dabiq] is very effective in the sense that it is aimed at young man especially. Young people will respond to glamorous material, they won't respond if it's dull.
"The fact that they are able to do it in multiple languages means that they can reach directly into countries of their core area.
"The problem is you just can't take it down from every [website]; there are areas of the internet you just can't police and if you know what to look for ...they are available."
You can hear Kyle Orton from the Henry Jackson Society speak with Premier's Hannah Tooley by clicking here.