A service for Dallas Police Sergeant Michael Smith will take place at the Farmers Branch church he and his family attended, before a service at a church in the city where he worked in security.
Following a memorial service, the funeral of Dallas Area Rapid Transit Officer Brent Thompson is being held at a church in Corsicana, 55-miles south of Dallas.
A funeral is also being held on Wednesday for Dallas Police Senior Corporal Lorne Ahrens, while a service for Dallas Police Officer Michael Krol is planned for Friday.
Family members and friends of Dallas Police Officer Patrick Zamarripa are expected to gather for his funeral on Saturday.
The five men were murdered during a protest attended by hundreds of people was staged against the police killings of two black men earlier in the week; Alton Sterling in Louisiana and Philando Castile in Minnesota.
During an interfaith memorial service on Tuesday for the victims of the shootings in Dallas, President Barack Obama called on Americans to support racial equity and justice.
The gunman behind last Thursday's attack, 25-year-old Micah Johnson, portrayed the shootings as an act of retaliation for the shootings of Sterling in Baton Rouge and Castile in Minneapolis.
He died in the incident when a bomb planted by police exploded.
Barack Obama has come under criticism for not visiting Baton Rouge or Minneapolis before attending the interfaith service in Dallas.