The fines levied on Democrats are allowed under House rules; they do not involve the anti-bolting statute passed last year.
Logansport Republican Representative Rich McClain filed a bill earlier this week that mirrors right to work but includes a referendum requirement.
Oklahoma workers told lawmakers the promises of more jobs and higher wages offered by Right to Work haven't proven true in Oklahoma.
Democrats left the floor Tuesday, protesting a House committee meeting on Right to Work.
After attending session on Monday, Democrats refused to show for session Tuesday.
Right to work passed a House committee Tuesday with a 8 to 5 vote.
House Democrats returned to the floor, allowing the session to proceed. They had refused to attend session last week because of right-to-work legislation.
Democrats could be fined up to $1,000 per day for their absence.
A Senate committee passed a right-to-work bill Friday with a 6 to 4 vote.
House Speaker Brian Bosma and Democratic Leader Pat Bauer met Thursday on disputes over right to work.