  Recent results obtained with the HEGRA system of imaging Cherenkov telescopes
on the TeV emission of the Blazars Mkn~421 ($z=0.030$), 1ES1959+650
($z=0.047$), and H1426+428 ($z=0.129$) are reported. For Mkn~421, a close
connection of the average flux level and spectral shape has been observed
during the periods of increased activity in the years 2000 and 2001.
Simultaneously taken data with the RXTE X-ray satellite reveal a complex light
curve at X-ray and TeV energies. After a deep exposure of 94 hrs, the object
1ES1959+650 was detected at the significance level of 5.4$\sigma$ with a soft
energy spectrum following a power-law with a photon-index of $3.3 \pm 0.7$.
During recent observations in May 2002, the source has shown increased activity
with indications for a flattening of the energy spectrum.
  The high energy peaked Blazar H1426+428 has recently been identified as a
source of TeV photons. Since the source is fairly distant (z=0.129), absorption
of TeV photons due to pair-production on the optical and near infrared
extragalactic light becomes important and should leave a signature in the
observed TeV energy spectrum. Notably, the TeV energy spectrum determined with
the HEGRA system of Cherenkov telescopes agrees with the expectation of a
strongly absorbed source spectrum.
