Education Secretary Michael Gove told ITV News there is "no excuse" for teachers going on strike, which has "caused disruption for hardworking parents".
Mr Gove said: "There's no justification for this action and teachers, I hope, will draw the appropriate lesson from today which is that it is their responsibility to put children first and to be in the classroom teaching, not on the picket line striking."
Union leaders said they were "overwhelmed" by support after a strike by public sector workers caused widespread disruption.
David Cameron, Michael Gove and other Government figures depicted in a variety of unflattering manners by striking public sector workers.
Hundreds of schools are to close tomorrow as teachers join strike action. Find out what schools in your area are affected.