Potential illegal migrants will be told they face being detained and deported if they come to the UK.
The campaign will feature images of people on a crowded boat and make clear just how dangerous the journeys are.
Albania is the first country to be targeted but it will be rolled out in other territories.
This comes as Immigration Minister Robert Jenrick visits Algeria, Tunisia, Italy and France in a bid to tackle migration challenges and “stop the boats”.
Mr Jenrick said: “Organised immigration crime is a global challenge which requires international solutions the whole way along the migration route. That includes working proactively at source before people set off on dangerous and unnecessary journeys.
“We are determined to stop the boats and the campaign, launching in Albania this week, is just one component of the Home Office’s work upstream to help dispel myths about illegal travel to the UK, explain the realities, and combat the lies pedalled by evil people-smugglers who profit from this vile trade.”
Tim Naor Hilton, chief executive of Refugee Action, was not impressed by the Home Office campaign.
“If the Government wanted to smash the smuggling gangs and stop people crossing the Channel in flimsy boats it would create more safe routes for refugees to travel here to claim asylum.”
“At every turn, the Tories so-called solutions fail to meet the scale of the crisis. All they are doing is tinkering at the edges. Labour has a clear plan for a cross-border police unit, fast-tracking to clear the backlog and a proper deal with France on safe returns.”