My clitoris is itching and burning i had sex with my partner now his penis is also burning and my outer vagina also itches sometimes?

Probably the two of you are sharing a yeast infection (thrush), which is easily treated. Look in the pharmacy for any of several products with active ingredient ending in "azole" (clotrimazole, miconazole, etc). If you choose a cream product, your male partner can share small amounts of it on his penis. See a doctor for diagnosis and further treatment if this doesn't take care of it.

Clean the area ant try cortisone ointment. Have your partner check withhis doc

F/U w/ urgent care/ MD test for yeast/ STDs or try home test kits - specific for microbes or test if vagina is acidic consistent w/ yeast. Then OTC yeast meds. NO CORTISONE https://www.healthline.com/health/best-yeast-infection-test#Quick-look-at-our-picks-for-the-best-at-home-vaginal-pH-tests if positive OTC yeast treatment. https://www.verywellhealth.com/at-home-yeast-infection-test-52