The present invention discloses a papermaking fabric having a both machine direction (MD) and cross-machine direction (CD) oriented protuberances for molding and structuring a nascent paper web, particularly tissue paper webs. The MD oriented protuberances are spaced apart from one another in the fabric cross-machine direction and may be continuous and parallel to one another. The CD oriented protuberances are preferably discrete and comprise less than 15 percent of the web contacting surface of the fabric. In certain instances the MD oriented protuberances are formed from interwoven filaments and the CD oriented protuberances are nonwoven and may be applied to the woven fabric substrate by printing.