How to implement zenner regulator to solar power ATtiny85?

How about something like the MC34064?

The MC34064 is an undervoltage sensing circuit specifically designed for use as a reset controller in microprocessor?based systems. It offers the designer an economical solution for low voltage detection with a single external resistor. The MC34064 features a trimmed?in?package bandgap reference, and a comparator with precise thresholds and built-in hysteresis to prevent erratic reset operation.