  The COMPTEL experiment aboard the COMPTON Gamma-Ray Observatory (CGRO) has
observed the prominent TeV-blazars Mkn 421 and Mkn 501 many times between the
start of its mission in April '91 and December '98. This paper reports first
COMPTEL results from mainly time-averaged (CGRO Cycles) data. No evidence for
both sources is found up to the end Cycle VI. However, the sum of all 10-30 MeV
Cycle VII data shows a weak (3.2 sigma detection) MeV-source being positionally
consistent with Mkn 421. During Cycle VII Mkn 421 was rather active at
TeV-energies. Due to the lack of other known Gamma-ray sources in this sky
region, we consider Mkn 421 as the most likely counterpart for this Gamma-ray
emission. However, its connection cannot be proven by COMPTEL.
