English walnut trees can be propagated by growing them from seed or by taking cuttings

From seed

  1. Collect seeds: In the fall, collect seeds from the ground. 
  2. Test viability: Put the seeds in water for about a minute. Seeds that sink are viable and should be planted. 
  3. Stratify: Put the viable seeds in a cold stratification period for 70–120 days. 
  4. Plant: In early spring, plant the stratified seeds 2 inches deep in a prepared seedbed. 
  5. Care: Water the seedlings when needed and keep the area free of weeds. In mid-July, fertilize with a slow-release fertilizer. 
  6. Select strongest tree: In the first year, remove all but the strongest-growing tree. 

From cuttings 

  1. Take cuttings: Between June and August, take healthy cuttings from young shoots on the tree.
  2. Prepare cuttings: Cut off the tip of the shoot after 15 cm.
  3. Plant cuttings: Put the cuttings in a planter with nutrient-rich soil.
  4. Care: Place the cuttings in a warm, protected spot with indirect sun. Water regularly, but avoid waterlogging.

English walnut trees can also be propagated by grafting, but this is usually only done by professional gardeners.