To propagate Joe Pye weed, the easiest method is by dividing the root system of a mature plant, ideally done in early spring when new growth starts to emerge, by carefully digging up the plant, separating the root ball into sections with attached stems, and replanting each division at the same depth as the original plant; you can also try taking softwood stem cuttings in late spring, but this method is less reliable than division. 

Key points about propagating Joe Pye weed:

Best method: Root division is the most common and successful way to propagate Joe Pye weed. 

When to divide: Early spring, just after new growth appears, is the ideal time to divide. 

How to divide: Dig around the plant to expose the root ball. 

Use a sharp spade to cut through the root ball, separating it into sections with multiple stems attached.  Plant each division in a new location at the same soil depth. 

Stem cuttings (less common): Take softwood cuttings from new growth in late spring. 

Remove lower leaves from the cutting.  Dip the cut end in rooting hormone.  Plant in a pot with moist potting mix and cover with plastic to maintain humidity. 

Important considerations:

Seed propagation: While possible, growing Joe Pye weed from seed can be challenging due to the need for cold stratification and may take longer to establish. 

Aftercare: Water newly divided plants well to help them establish. 

Check for invasive potential: In some regions, Joe Pye weed can spread aggressively, so monitor its growth and consider deadheading flowers to prevent excessive reseeding.