We have counted the currently known, described and accepted number of plant species as ca 374,000, of which approximately 308,312 are vascular plants, with 295,383 flowering plants (angiosperms; monocots: 74,273; eudicots: 210,008). Global numbers of smaller plant groups are as follows: algae ca 44,000, liverworts ca 9,000, hornworts ca 225, mosses 12,700, lycopods 1,290, ferns 10,560 and gymnosperms 1,079. Phytotaxa is currently contributing more than a quarter of the ca 2000 species that are described every year, showing that it has become a major contributor to the dissemination of new species discovery. However, the rate of discovery is slowing down, due to reduction in financial and scientific support for fundamental natural history studies.

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doi.org/10.11646/phytotaxa.261.3.1
Phytotaxa
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M.J.M. Christenhusz, & Byng, J. (2016). The number of known plants species in the world and its annual increase. Phytotaxa (Vol. 261, pp. 201–217). doi:10.11646/phytotaxa.261.3.1