At Tuesday's city council meeting, Wichita Falls councilors will consider paying that officer a $60,000 settlement.
The alleged assaults happened in December 2011.
Officer Gerald Morgan was first put on leave with pay, then suspended indefinitely without pay.
Police say Morgan was arrested in December 2011 after an altercation involving his family.
The affidavit stated he accused his wife of taking his medication and pushed her, and she fell onto her 10-year-old daughter before Morgan grabbed their 15-year-old son's throat and pushed him against a door.
It states when his wife tried to intervene, Morgan threw her against a wall.
He appealed his suspension, and was indicted on the charges, which were third-degree felonies.
Court records show those felonies ended up being dismissed and downgraded to two misdemeanor charges of assault causing bodily injury to family.
Those charges were then dismissed last month.
Documents filed by the district attorney's office state the complaining parties in those charges signed documents asking for the cases to not be prosecuted.
Those documents state the alleged victims claim they lack independent memory of the incident and that's why they didn't want to prosecute anymore.
The resolution in Tuesday's city council meeting would authorize the city to pay a settlement of $60,000 to settle Morgan's disciplinary appeal of the case.
Under the proposed agreement, Morgan's indefinite suspension will be withdrawn, and Morgan will withdraw his appeal and submit his resignation.
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