Readers are free to interpret his words how they wish. There's also a widespread belief that if you dip at random into Hafez his words will foretell your future.
For Iranians visiting Shiraz, Hafez's tomb is an essential stop. Outside the walled garden that encloses his tomb men stand holding small boxes in one hand and a canary or budgie in the other. Pay a few cents and the bird will pull a card from the box that bears a few lines of Hafez's poetry and an accompanying interpretation.
Inside the gate a flower-bordered water channel leads to a colonnaded terrace. Beyond this lies the simple, graceful domed pavilion under which is the marble tomb of the poet.
I never tire of watching people approach the tomb, touch it with their fingers then recite some lines from the Koran and from the poet himself.
Every year, my Iranian friend and fellow guide Reza read to our group - me in English and he in mellifluous Persian.
This often attracts locals who clap appreciatively - sometimes in contrast to some of the Kiwis who seem less comfortable with impassioned words about the quality of love.
But the setting could not be more perfect to recite lines such as:
"All the long night we talked of your long hair
The hollow listening hours rolled darkly by
The solemn world beneath the steady stars
The morning moved, sleep- walking up the sky"
When the much-mourned teahouse was open it would be filled with Iranians, many bearing copies of Hafez.
While they sipped tea and ate dishes of the local ice-cream - rosewater-flavoured faludeh - they would read Hafez aloud. The splash of the fountain the clink of tea glasses, the gurgle of the hubble-bubble pipes, formed the backdrop to their murmurings.
I am told the teahouse has been closed because the landlord has put the rent up too high. May his tea be bitter and his bread stale.
If I could command the shrine canaries to choose some Hafez for him maybe this would do, with just a minor substitution of a glass of tea for Shiraz wine...
"The Ocean of Love is a sea where there is no shore
"And without the soul's surrender, there is no hope, no sand
"When you come here on pilgrimage, don't bore us with your stories of judges and human laws
"Bring wine!"