Systems, methods, and devices that employ moving program verify levels to facilitate programming data to memory elements in a memory component are presented. A program component can employs a specified number of program verify (PV) levels where a first program pulse is applied to a selected group of memory elements to facilitate verifying the cells to pass the first PV level. The PV level can be moved to a next PV level that is a higher charge level than or equal to the first PV level, and a subset of the group of cells that are below the next PV level are selected and a next program pulse is applied to the subset of cells to facilitate verifying the cells to pass the next PV level. The moving PV level process can continue until the group of memory elements is verified to pass the target PV level.