He starts with the opening games in each group, which include the repeat of the 2010 final between holders Spain and the Netherlands, and England's tough-looking start against Italy.
Lawro also picks his two teams to go through from each group into the knockout stage.
He is backing Argentina to win the World Cup, and believes England will reach the quarter-finals.
Lawro was speaking to BBC Sport's Chris Bevan.
Brazil 3-1 Croatia
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Mexico 1-0 Cameroon
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Lawro's pre-tournament picks to go through: Brazil and Mexico.
Spain 1-5 Netherlands
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Chile 3-1 Australia
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Lawro's pre-tournament picks to go through: Spain and Netherlands.
Colombia 3-0 Greece
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Ivory Coast 2-1 Japan
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Lawro's pre-tournament picks to go through: Colombia and Ivory Coast.
Uruguay 1-3 Costa Rica
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England 1-2 Italy
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Lawro's pre-tournament picks to go through: England and Italy.
Switzerland 2-1 Ecuador
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France 3-0 Honduras
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Lawro's pre-tournament picks to go through: France and Switzerland.
Argentina 2-1 Bosnia-Hercegovina
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Iran 0-0 Nigeria
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Lawro's pre-tournament picks to go through: Argentina and Nigeria.
Germany 4-0 Portugal
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Ghana 1-2 United States
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Lawro's pre-tournament picks to go through: Germany and the United States.
Belgium 2-1 Algeria
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Russia 1-1 South Korea
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Lawro's pre-tournament picks to go through: Belgium and Russia.
BBC Sport football expert Mark Lawrenson is predicting the outcome of every game at the 2014 World Cup.