The figures were released to coincide with the 15 January deadline for parents to apply for primary school places for children starting school in September.
An analysis of Department for Education figures published by the party shows that 38,500 primary pupils are in classes with more than 36 children and 15,000 are now in class sizes of at least 40.
Labour also claims that the number of infants in large classes is now at the highest level since 2000, and has also trebled since 2010, up from 31,265 to 101,270 in 2015.
Figures also show that there are now 87 'titan' primary schools with more than 800 pupils, five times the number there were in 2010.
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