The council delayed a vote last week.
"I feel that the structure is not in place for a solid foundation of being inclusive on getting the input from the super neighborhoods," Stardig said. "There were no resolutions, no votes taken at the ground level out in the neighborhoods."
Houston joins most other major U.S. cities with a general plan.
Mayor Annise Parker said her administration will review each department's major projects for the year and develop a work plan. The information will also be shared directly with council members.
The advocacy group Texas Organizing Project wants to have a say on the road ahead.
Its Harris County director, Tarsha Jackson, said she will be meeting with the city's planning director to discuss next steps regarding low-income communities.
"How do we get Sunnyside, Third Ward or Acres Homes to look like Midtown, River Oaks?" Jackson said. "So, making sure those details are in this particular plan once we move on to developing it."
Jackson said the plan is a great opportunity to address income inequality in Houston.