A programmable delay circuit capable of providing a delay with integer and fractional time resolution is described. In one exemplary design, an apparatus includes first and second delay circuits. The first delay circuit provides a first delay of an integer number of time units. The second delay circuit couples to the first delay circuit and provides a second delay of a fraction of one time unit. The first delay circuit may include multiple unit delay cells coupled in series. Each unit delay cell may provide a delay of one time unit when enabled. The second delay circuit may have first and second paths. The first path may provide a shorter delay when selected, and the second path may provide a longer delay when selected. The second path may be coupled to at least one dummy logic gate that provides extra loading to obtain the longer delay for the second path.