Wait until the tests show 0 mg/L of ammonia and nitrite, a sign that the biological filter is doing its job, and a few tens of mg/L of nitrate (a non-toxic nutrient, consumed by the plants). You can then gradually introduce your fish into the pond (preferably during a mild spell in spring or autumn, outside any heatwave or frost).
Introduce a few fish at a time, spacing them over several days, so as not to overload the system all at once. Likewise, plant up your grow bed gradually with easy young plants (lettuces, basil, mint, etc.) so that they start absorbing the nitrates.
During these first few weeks, check your setup every day: make sure the pump runs continuously and the water stays clear, and measure the pH and toxins every two to three days. The pH to aim for is between 6.4 and 7.5 to suit both fish and plants, with a KH (carbonate hardness) of 6 to 12 °dH to keep it stable. Once the nitrogen cycle is established, your aquaponic system is officially "cycled"!