All of that healthy, lush green growth without blooms is a sign that your trumpet vine (Campsis radicans) is getting too much nitrogen and perhaps not enough phosphorous. If your trumpet vine is planted near your lawn and you fertilize your lawn, the lawn fertilizer (always high in nitrogen) is what's pushing the green growth. If you think that may be what's happening, avoid the area around your trumpet vine when fertilizing your lawn. Avoid fertilizing lawn within a 10-foot radius of the trumpet vine. If you don't think excess nitrogen is the problem, you can encourage your trumpet vine to bloom by applying a granular, slow-release, high phosphorous fertilizer in spring. Look for a fertilizer formulation with a high middle number; something like 5-10-5 or 10-30-10. These kinds of fertilizers are often labeled "bloom booster". However, trumpet vine is a vigorous plant that thrives on poor soils and neglect, and bloom booster fertilizers aren't usually necessary to push it to bloom.