Lee Holmes of Derby opened the scoring for Martin Hunter's side in the 10th minute.
Ben Parker also completed a second successive 90 minutes for England's youngsters, who went down 2-1 to the Czech Republic in their first match.
Simon Walton, the third Leeds player included in the U-19s squad, missed out against Poland through suspension after being sent off for two bookable offences against the Czech Republic.
England play a Poland 'B' team in their final match tomorrow.